Business communities in the United States are facing high demand for human resources, but one of the constant challenges is identifying and attracting the right talent, which is perhaps the most important element in remaining competitive. Companies in the United States look for hard-working, talented, and qualified individuals both locally as well as abroad.
The Immigration and Nationality Act (INA) of the US permits foreign workers to come to the United States to work on either a temporary or permanent basis. The act also protects US workers against adverse impacts on their wages or working conditions by ensuring US employers' compliance with statutory requirements when they hire foreign workers to fill workforce shortages. The immigration programs are administered by the Office of Foreign Labor Certification (OFLC).
OFLC processes job certification applications for employers seeking to bring foreign workers into the United States and grants certifications in those cases where employers can demonstrate that there are not sufficient US workers available to perform the work at wages that meet or exceed the wage paid for the occupation in the area of intended employment.
In FY 2016, the OFLC processed 775,979 employer applications for 1,699,957 positions for temporary and permanent labor certifications. This was a nine percent increase in the overall number of processed applications from the previous year. The process of reviewing every case is becoming a tedious task as the number of applicants is increasing every year.
The increasing number of applicants every year calls for a Machine Learning based solution that can help in shortlisting the candidates having higher chances of VISA approval. OFLC has hired your firm EasyVisa for data-driven solutions. You as a data scientist have to analyze the data provided and, with the help of a classification model:
The data contains the different attributes of the employee and the employer. The detailed data dictionary is given below.
# Installing the libraries with the specified version.
#!pip install numpy==1.25.2 pandas==1.5.3 scikit-learn==1.2.2 matplotlib==3.7.1 seaborn==0.13.1 xgboost==2.0.3
import warnings
warnings.filterwarnings("ignore")
# Libraries to help with reading and manipulating data
import numpy as np
import pandas as pd
# libaries to help with data visualization
import seaborn as sns
import matplotlib.pyplot as plt
# Removes the limit for the number of displayed columns
pd.set_option("display.max_columns", None)
# Sets the limit for the number of displayed rows
pd.set_option("display.max_rows", 200)
# setting the precision of floating numbers to 5 decimal points
pd.set_option("display.float_format", lambda x: "%.5f" % x)
#Import libraries to build Ensemble models
from sklearn.tree import DecisionTreeRegressor
from sklearn.ensemble import BaggingRegressor,RandomForestRegressor, GradientBoostingRegressor, AdaBoostRegressor, StackingRegressor
from sklearn.ensemble import AdaBoostClassifier, GradientBoostingClassifier, StackingClassifier, RandomForestClassifier, BaggingClassifier, StackingClassifier
from xgboost import XGBRegressor, XGBClassifier
from sklearn.tree import DecisionTreeClassifier
from sklearn import tree
from sklearn import metrics
from sklearn.model_selection import GridSearchCV, train_test_split
from sklearn.metrics import confusion_matrix, classification_report
from sklearn.metrics import accuracy_score,precision_score,recall_score,f1_score, roc_auc_score
import scipy.stats as stats
Note: After running the above cell, kindly restart the notebook kernel and run all cells sequentially from the start again.
df_main = pd.read_csv("EasyVisa.csv") #Loading dataset
# copying data to another variable to avoid any changes to original data
data = df_main.copy()
data.head()
| case_id | continent | education_of_employee | has_job_experience | requires_job_training | no_of_employees | yr_of_estab | region_of_employment | prevailing_wage | unit_of_wage | full_time_position | case_status | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | EZYV01 | Asia | High School | N | N | 14513 | 2007 | West | 592.20290 | Hour | Y | Denied |
| 1 | EZYV02 | Asia | Master's | Y | N | 2412 | 2002 | Northeast | 83425.65000 | Year | Y | Certified |
| 2 | EZYV03 | Asia | Bachelor's | N | Y | 44444 | 2008 | West | 122996.86000 | Year | Y | Denied |
| 3 | EZYV04 | Asia | Bachelor's | N | N | 98 | 1897 | West | 83434.03000 | Year | Y | Denied |
| 4 | EZYV05 | Africa | Master's | Y | N | 1082 | 2005 | South | 149907.39000 | Year | Y | Certified |
data.shape
(25480, 12)
# Dictionary to store unique values for each feature
unique_values = {}
# Loop through each column in the DataFrame
for column in data.columns:
# Get unique values for the current column
unique_values[column] = set(data[column].unique())
# Print unique values for each feature
for feature, values in unique_values.items():
print(f"Unique values for {feature}: {values}")
Unique values for case_id: {'EZYV13000', 'EZYV13951', 'EZYV15453', 'EZYV4850', 'EZYV15206', 'EZYV6106', 'EZYV3599', 'EZYV351', 'EZYV13029', 'EZYV7011', 'EZYV23575', 'EZYV900', 'EZYV4706', 'EZYV16630', 'EZYV1900', 'EZYV6516', 'EZYV13297', 'EZYV24744', 'EZYV9935', 'EZYV11204', 'EZYV18289', 'EZYV17223', 'EZYV10200', 'EZYV968', 'EZYV10567', 'EZYV9668', 'EZYV3043', 'EZYV9596', 'EZYV18193', 'EZYV12632', 'EZYV21782', 'EZYV7014', 'EZYV17225', 'EZYV17231', 'EZYV2588', 'EZYV17919', 'EZYV9108', 'EZYV3672', 'EZYV19316', 'EZYV4431', 'EZYV8715', 'EZYV5772', 'EZYV21416', 'EZYV23189', 'EZYV1207', 'EZYV5336', 'EZYV3404', 'EZYV8366', 'EZYV2199', 'EZYV11976', 'EZYV6667', 'EZYV11155', 'EZYV15615', 'EZYV20512', 'EZYV8103', 'EZYV1623', 'EZYV22139', 'EZYV16299', 'EZYV23183', 'EZYV10197', 'EZYV14251', 'EZYV3414', 'EZYV2729', 'EZYV5429', 'EZYV21058', 'EZYV3859', 'EZYV12491', 'EZYV2867', 'EZYV25315', 'EZYV8608', 'EZYV12940', 'EZYV10384', 'EZYV1546', 'EZYV22991', 'EZYV497', 'EZYV20767', 'EZYV5795', 'EZYV13478', 'EZYV17889', 'EZYV19023', 'EZYV17015', 'EZYV1388', 'EZYV3619', 'EZYV542', 'EZYV19285', 'EZYV11042', 'EZYV16007', 'EZYV14352', 'EZYV12321', 'EZYV8114', 'EZYV6296', 'EZYV489', 'EZYV730', 'EZYV12753', 'EZYV12634', 'EZYV3323', 'EZYV7736', 'EZYV17598', 'EZYV4555', 'EZYV4339', 'EZYV2088', 'EZYV12917', 'EZYV18967', 'EZYV12824', 'EZYV15457', 'EZYV17105', 'EZYV19138', 'EZYV14645', 'EZYV6197', 'EZYV24340', 'EZYV9362', 'EZYV15604', 'EZYV21806', 'EZYV11685', 'EZYV11682', 'EZYV23110', 'EZYV15285', 'EZYV20252', 'EZYV120', 'EZYV15276', 'EZYV9370', 'EZYV12972', 'EZYV16791', 'EZYV24751', 'EZYV25456', 'EZYV16397', 'EZYV22690', 'EZYV2981', 'EZYV15200', 'EZYV16694', 'EZYV6463', 'EZYV4281', 'EZYV18409', 'EZYV13440', 'EZYV25056', 'EZYV21045', 'EZYV24115', 'EZYV18141', 'EZYV3973', 'EZYV12767', 'EZYV3349', 'EZYV13609', 'EZYV15902', 'EZYV14010', 'EZYV829', 'EZYV19210', 'EZYV1401', 'EZYV18454', 'EZYV10048', 'EZYV18999', 'EZYV21509', 'EZYV8261', 'EZYV12280', 'EZYV10333', 'EZYV4578', 'EZYV13573', 'EZYV13818', 'EZYV18792', 'EZYV25302', 'EZYV3083', 'EZYV16015', 'EZYV21213', 'EZYV8847', 'EZYV3186', 'EZYV4481', 'EZYV22736', 'EZYV24365', 'EZYV11965', 'EZYV13890', 'EZYV22823', 'EZYV6469', 'EZYV937', 'EZYV15049', 'EZYV16160', 'EZYV11177', 'EZYV11780', 'EZYV18780', 'EZYV11583', 'EZYV2768', 'EZYV7256', 'EZYV19220', 'EZYV4110', 'EZYV7661', 'EZYV12431', 'EZYV15060', 'EZYV14312', 'EZYV21008', 'EZYV16306', 'EZYV23965', 'EZYV7768', 'EZYV1036', 'EZYV13006', 'EZYV22577', 'EZYV21236', 'EZYV19703', 'EZYV14440', 'EZYV1531', 'EZYV24164', 'EZYV24107', 'EZYV16625', 'EZYV23570', 'EZYV6655', 'EZYV16585', 'EZYV13732', 'EZYV4259', 'EZYV10392', 'EZYV5001', 'EZYV7763', 'EZYV1210', 'EZYV17693', 'EZYV12067', 'EZYV5042', 'EZYV5499', 'EZYV18448', 'EZYV10922', 'EZYV13467', 'EZYV10439', 'EZYV4264', 'EZYV18771', 'EZYV23795', 'EZYV17040', 'EZYV19029', 'EZYV4316', 'EZYV8332', 'EZYV14796', 'EZYV10951', 'EZYV22629', 'EZYV19841', 'EZYV1104', 'EZYV19065', 'EZYV19617', 'EZYV21760', 'EZYV22622', 'EZYV2769', 'EZYV17907', 'EZYV19826', 'EZYV4982', 'EZYV25093', 'EZYV20219', 'EZYV13157', 'EZYV5974', 'EZYV3977', 'EZYV20106', 'EZYV2523', 'EZYV23974', 'EZYV21352', 'EZYV20192', 'EZYV10159', 'EZYV8240', 'EZYV14837', 'EZYV5636', 'EZYV16765', 'EZYV10381', 'EZYV25353', 'EZYV2160', 'EZYV17447', 'EZYV17592', 'EZYV6200', 'EZYV23686', 'EZYV5086', 'EZYV18793', 'EZYV10814', 'EZYV18911', 'EZYV4176', 'EZYV8878', 'EZYV1874', 'EZYV8080', 'EZYV11527', 'EZYV16526', 'EZYV25477', 'EZYV4564', 'EZYV17732', 'EZYV1738', 'EZYV13889', 'EZYV8268', 'EZYV12059', 'EZYV12482', 'EZYV24750', 'EZYV21801', 'EZYV8577', 'EZYV23917', 'EZYV8132', 'EZYV21179', 'EZYV5761', 'EZYV16855', 'EZYV19153', 'EZYV3911', 'EZYV16788', 'EZYV9177', 'EZYV3521', 'EZYV12230', 'EZYV17300', 'EZYV13239', 'EZYV19109', 'EZYV836', 'EZYV7744', 'EZYV4941', 'EZYV14125', 'EZYV22606', 'EZYV13422', 'EZYV19908', 'EZYV16748', 'EZYV20007', 'EZYV7869', 'EZYV19602', 'EZYV9768', 'EZYV8168', 'EZYV4434', 'EZYV1896', 'EZYV8721', 'EZYV2892', 'EZYV18824', 'EZYV1827', 'EZYV6099', 'EZYV720', 'EZYV12493', 'EZYV15186', 'EZYV19906', 'EZYV17497', 'EZYV23213', 'EZYV18386', 'EZYV23949', 'EZYV2707', 'EZYV17838', 'EZYV24171', 'EZYV23854', 'EZYV19693', 'EZYV6676', 'EZYV10353', 'EZYV25107', 'EZYV24609', 'EZYV22496', 'EZYV22783', 'EZYV12342', 'EZYV24158', 'EZYV9489', 'EZYV10856', 'EZYV11521', 'EZYV11435', 'EZYV14195', 'EZYV20881', 'EZYV21466', 'EZYV14570', 'EZYV12358', 'EZYV17610', 'EZYV10915', 'EZYV19584', 'EZYV9296', 'EZYV23316', 'EZYV4611', 'EZYV12855', 'EZYV17783', 'EZYV302', 'EZYV14176', 'EZYV1515', 'EZYV13837', 'EZYV21015', 'EZYV5916', 'EZYV15482', 'EZYV24546', 'EZYV4395', 'EZYV20173', 'EZYV15461', 'EZYV20023', 'EZYV5825', 'EZYV453', 'EZYV19783', 'EZYV23206', 'EZYV11809', 'EZYV20757', 'EZYV13406', 'EZYV24692', 'EZYV18819', 'EZYV19593', 'EZYV21729', 'EZYV10403', 'EZYV12266', 'EZYV5420', 'EZYV1899', 'EZYV11210', 'EZYV13261', 'EZYV12250', 'EZYV24274', 'EZYV16858', 'EZYV16654', 'EZYV14705', 'EZYV3482', 'EZYV16659', 'EZYV24227', 'EZYV3645', 'EZYV20286', 'EZYV8244', 'EZYV338', 'EZYV3654', 'EZYV13278', 'EZYV5374', 'EZYV17277', 'EZYV5449', 'EZYV13970', 'EZYV18150', 'EZYV7630', 'EZYV8772', 'EZYV637', 'EZYV4981', 'EZYV4002', 'EZYV6758', 'EZYV8738', 'EZYV1692', 'EZYV14959', 'EZYV50', 'EZYV23227', 'EZYV20500', 'EZYV24628', 'EZYV14745', 'EZYV10690', 'EZYV11434', 'EZYV24650', 'EZYV24986', 'EZYV305', 'EZYV16122', 'EZYV126', 'EZYV18111', 'EZYV17913', 'EZYV3791', 'EZYV5701', 'EZYV2411', 'EZYV22118', 'EZYV23127', 'EZYV17989', 'EZYV24128', 'EZYV8335', 'EZYV12334', 'EZYV20105', 'EZYV13700', 'EZYV13206', 'EZYV22910', 'EZYV1766', 'EZYV19102', 'EZYV21772', 'EZYV10521', 'EZYV17173', 'EZYV22215', 'EZYV9640', 'EZYV9514', 'EZYV2932', 'EZYV8582', 'EZYV21963', 'EZYV25237', 'EZYV16351', 'EZYV20149', 'EZYV25323', 'EZYV24237', 'EZYV16994', 'EZYV21376', 'EZYV1934', 'EZYV11308', 'EZYV16234', 'EZYV2436', 'EZYV12955', 'EZYV22817', 'EZYV13687', 'EZYV4691', 'EZYV14999', 'EZYV11145', 'EZYV10182', 'EZYV19670', 'EZYV23790', 'EZYV2913', 'EZYV17737', 'EZYV12489', 'EZYV16275', 'EZYV14266', 'EZYV7746', 'EZYV12903', 'EZYV3090', 'EZYV12163', 'EZYV10470', 'EZYV10953', 'EZYV18597', 'EZYV1376', 'EZYV15656', 'EZYV21243', 'EZYV11388', 'EZYV9251', 'EZYV8006', 'EZYV19524', 'EZYV6264', 'EZYV20704', 'EZYV22024', 'EZYV16847', 'EZYV10052', 'EZYV19231', 'EZYV19014', 'EZYV8918', 'EZYV13421', 'EZYV8968', 'EZYV18945', 'EZYV7781', 'EZYV24255', 'EZYV2579', 'EZYV7057', 'EZYV21004', 'EZYV8723', 'EZYV22768', 'EZYV6121', 'EZYV20766', 'EZYV20651', 'EZYV9165', 'EZYV2027', 'EZYV13745', 'EZYV8120', 'EZYV12935', 'EZYV20735', 'EZYV14068', 'EZYV5328', 'EZYV4563', 'EZYV23908', 'EZYV9229', 'EZYV17674', 'EZYV21567', 'EZYV12693', 'EZYV14033', 'EZYV20569', 'EZYV21654', 'EZYV3628', 'EZYV14640', 'EZYV18624', 'EZYV2370', 'EZYV1032', 'EZYV7393', 'EZYV12203', 'EZYV8367', 'EZYV3561', 'EZYV18689', 'EZYV19708', 'EZYV11098', 'EZYV19383', 'EZYV13', 'EZYV5606', 'EZYV20946', 'EZYV6091', 'EZYV14243', 'EZYV15812', 'EZYV4070', 'EZYV14160', 'EZYV12226', 'EZYV12188', 'EZYV1169', 'EZYV3958', 'EZYV19748', 'EZYV15297', 'EZYV15367', 'EZYV16322', 'EZYV13389', 'EZYV21992', 'EZYV20013', 'EZYV19467', 'EZYV18583', 'EZYV12534', 'EZYV18268', 'EZYV13222', 'EZYV17321', 'EZYV814', 'EZYV16420', 'EZYV12511', 'EZYV15256', 'EZYV23735', 'EZYV6790', 'EZYV406', 'EZYV11900', 'EZYV17613', 'EZYV19441', 'EZYV5618', 'EZYV9612', 'EZYV5770', 'EZYV15618', 'EZYV18687', 'EZYV9648', 'EZYV22391', 'EZYV5802', 'EZYV9025', 'EZYV23736', 'EZYV6220', 'EZYV1604', 'EZYV4341', 'EZYV11254', 'EZYV18048', 'EZYV168', 'EZYV12617', 'EZYV24121', 'EZYV7537', 'EZYV9494', 'EZYV7072', 'EZYV15715', 'EZYV1964', 'EZYV18046', 'EZYV9070', 'EZYV14671', 'EZYV11097', 'EZYV22618', 'EZYV6745', 'EZYV9606', 'EZYV8552', 'EZYV20797', 'EZYV19985', 'EZYV146', 'EZYV16903', 'EZYV7518', 'EZYV14536', 'EZYV3816', 'EZYV11311', 'EZYV20245', 'EZYV16512', 'EZYV2072', 'EZYV18255', 'EZYV21786', 'EZYV5040', 'EZYV8104', 'EZYV11719', 'EZYV18437', 'EZYV3028', 'EZYV16425', 'EZYV13338', 'EZYV24350', 'EZYV17280', 'EZYV5610', 'EZYV2251', 'EZYV3301', 'EZYV6789', 'EZYV22914', 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'EZYV339', 'EZYV18317', 'EZYV15603', 'EZYV22156', 'EZYV24477', 'EZYV325', 'EZYV10796', 'EZYV206', 'EZYV6356', 'EZYV23971', 'EZYV25436', 'EZYV1842', 'EZYV1736', 'EZYV4950', 'EZYV22085', 'EZYV12678', 'EZYV10326', 'EZYV16280', 'EZYV20815', 'EZYV14800', 'EZYV5322', 'EZYV6110', 'EZYV11615', 'EZYV24709', 'EZYV5277', 'EZYV14904', 'EZYV8198', 'EZYV21012', 'EZYV13202', 'EZYV2776', 'EZYV11590', 'EZYV7291', 'EZYV9853', 'EZYV11675', 'EZYV9144', 'EZYV7978', 'EZYV23280', 'EZYV13151', 'EZYV20265', 'EZYV7976', 'EZYV12914', 'EZYV3673', 'EZYV20900', 'EZYV21626', 'EZYV15289', 'EZYV11010', 'EZYV5682', 'EZYV18148', 'EZYV25264', 'EZYV723', 'EZYV25211', 'EZYV9430', 'EZYV3799', 'EZYV13172', 'EZYV18403', 'EZYV22265', 'EZYV3985', 'EZYV5698', 'EZYV23237', 'EZYV23519', 'EZYV19093', 'EZYV14322', 'EZYV9595', 'EZYV16436', 'EZYV19622', 'EZYV9765', 'EZYV18250', 'EZYV11927', 'EZYV1915', 'EZYV22013', 'EZYV4444', 'EZYV14305', 'EZYV4140', 'EZYV13635', 'EZYV14290', 'EZYV17404', 'EZYV1183', 'EZYV10635', 'EZYV11732', 'EZYV14183', 'EZYV21252', 'EZYV16782', 'EZYV2995', 'EZYV22207', 'EZYV20731', 'EZYV15183', 'EZYV25110', 'EZYV1475', 'EZYV13946', 'EZYV18002', 'EZYV18708', 'EZYV13886', 'EZYV23065', 'EZYV907', 'EZYV411', 'EZYV4378', 'EZYV11018', 'EZYV25247', 'EZYV16779', 'EZYV14228', 'EZYV24919', 'EZYV24560', 'EZYV6278', 'EZYV17180', 'EZYV25065', 'EZYV10222', 'EZYV20116', 'EZYV10512', 'EZYV23283', 'EZYV7490', 'EZYV13010', 'EZYV22159', 'EZYV6457', 'EZYV20674', 'EZYV23926', 'EZYV12420', 'EZYV24763', 'EZYV5986', 'EZYV6007', 'EZYV15241', 'EZYV23860', 'EZYV21291', 'EZYV5349', 'EZYV18578', 'EZYV21412', 'EZYV2156', 'EZYV4623', 'EZYV24094', 'EZYV1864', 'EZYV12124', 'EZYV22733', 'EZYV13579', 'EZYV3613', 'EZYV16080', 'EZYV8699', 'EZYV16700', 'EZYV24982', 'EZYV13442', 'EZYV15163', 'EZYV17181', 'EZYV18094', 'EZYV13213', 'EZYV14786', 'EZYV15716', 'EZYV19487', 'EZYV21976', 'EZYV11663', 'EZYV12532', 'EZYV21070', 'EZYV14139', 'EZYV14983', 'EZYV21523', 'EZYV15504', 'EZYV11665', 'EZYV9818', 'EZYV7324', 'EZYV24459', 'EZYV11397', 'EZYV6387', 'EZYV335', 'EZYV24512', 'EZYV3160', 'EZYV4177', 'EZYV23400', 'EZYV13160', 'EZYV15235', 'EZYV16362', 'EZYV21852', 'EZYV15303', 'EZYV3221', 'EZYV16961', 'EZYV22544', 'EZYV3424', 'EZYV12351', 'EZYV21759', 'EZYV12520', 'EZYV6141', 'EZYV8083', 'EZYV19877', 'EZYV9456', 'EZYV12794', 'EZYV20167', 'EZYV22545', 'EZYV25170', 'EZYV19756', 'EZYV5252', 'EZYV9109', 'EZYV15110', 'EZYV17494', 'EZYV23417', 'EZYV13937', 'EZYV24565', 'EZYV2571', 'EZYV6969', 'EZYV11366', 'EZYV5928', 'EZYV18206', 'EZYV12973', 'EZYV14532', 'EZYV4608', 'EZYV24506', 'EZYV15334', 'EZYV17423', 'EZYV18737', 'EZYV10085', 'EZYV7810', 'EZYV103', 'EZYV3864', 'EZYV5979', 'EZYV12636', 'EZYV13783', 'EZYV19663', 'EZYV3730', 'EZYV6767', 'EZYV14586', 'EZYV24828'}
Unique values for continent: {'Europe', 'Asia', 'Africa', 'Oceania', 'North America', 'South America'}
Unique values for education_of_employee: {'Doctorate', 'High School', "Master's", "Bachelor's"}
Unique values for has_job_experience: {'Y', 'N'}
Unique values for requires_job_training: {'Y', 'N'}
Unique values for no_of_employees: {12, 13, 15, 16, 18, 19, 20, 21, 22, 23, 24, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 98336, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 131192, 128, 129, 130, 131, 32899, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 98447, 146, 147, 148, 149, 150, 151, 145, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 33130, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 33187, 424, 425, 426, 427, 423, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 33345, 578, 577, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 131683, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 127, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 66191, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 131738, 673, 674, 675, 676, 677, 678, 672, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 66319, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 33570, 807, 808, 809, 810, 811, 812, 806, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 132142, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1071, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 99503, 1200, 1199, 1202, 1203, 1204, 1205, 1201, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 34069, 1301, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 66948, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 34236, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1473, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 99863, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 34346, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 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22543, 22546, 22548, 22558, 22576, 251967, 22618, 120925, 22645, 22649, 88234, 55504, 252121, 22778, 88326, 22799, 22840, 252242, 22880, 547172, 22888, 22895, 22901, 55693, 88484, 22952, 22953, 55730, 55812, 23048, 4586, 88622, 23087, 23088, 154164, 23123, 252500, 55914, 23151, 23191, 23197, 121515, 88751, 23239, 121550, 23246, 23287, 154373, 23324, 23335, 4646, 23381, 88939, 121722, 23419, 56246, 89016, 23483, 23488, 56287, 23534, 23573, 23581, 56351, 23612, 56385, 23617, 89179, 23645, 23653, 121968, 23694, 23703, 23746, 122064, 122114, 23824, 23833, 89379, 23858, 23874, 23885, 23890, 89435, 23932, 23942, 122255, 23970, 23975, 56774, 24069, 24084, 24092, 24124, 24139, 24190, 102516, 24299, 57070, 24304, 24321, 24335, 89925, 253772, 24399, 57179, 581468, 24413, 122760, 57272, 24518, 57288, 24534, 24536, 90161, 90178, 90181, 24655, 57424, 221303, 135173, 90282, 90320, 24801, 188650, 24850, 24902, 70082, 155999, 24942, 24951, 24966, 90532, 90533, 25078, 25091, 25094, 25108, 25111, 25121, 90672, 57909, 25149, 25158, 57944, 123482, 25193, 25200, 25219, 25237, 90791, 25255, 58059, 25430, 25436, 25536, 25567, 123876, 156645, 91148, 25618, 91203, 25733, 91288, 25782, 58550, 25805, 386278, 91386, 58630, 91435, 25904, 25914, 91451, 124220, 25920, 25923, 25929, 25936, 25971, 25983, 25994, 5168, 5173, 26031, 26052, 26125, 26126, 124464, 124465, 58950, 58990, 124534, 26238, 26241, 5218, 26297, 26298, 59095, 190167, 91879, 517884, 288512, 91938, 59255, 26494, 26503, 26537, 26539, 26549, 26592, 26600, 59391, 157712, 26646, 26685, 26692, 223314, 26716, 26737, 92290, 26784, 59581, 26822, 59611, 92407, 26891, 26901, 26903, 26906, 125220, 92482, 26957, 59742, 26982, 92520, 103058, 27001, 59776, 256392, 59816, 27068, 27072, 27073, 59872, 125415, 453142, 27195, 125501, 92770, 27239, 92780, 256640, 27264, 92872, 60186, 93018, 27484, 60303, 93173, 27673, 27749, 27752, 60523, 60548, 27783, 421062, 27863, 27873, 27882, 27957, 27959, 27981, 93525, 28006, 28007, 28027, 28035, 28040, 355726, 28059, 28060, 28082, 28098, 60905, 126451, 60926, 28181, 28199, 93759, 28257, 28279, 126587, 28315, 28350, 61171, 28418, 61191, 61240, 94019, 28587, 28592, 61396, 192494, 28704, 28714, 28730, 61504, 61546, 28794, 94336, 28826, 28850, 28870, 28871, 94411, 28891, 28900, 28916, 127234, 28963, 127274, 28979, 28992, 29037, 94579, 29062, 94603, 29082, 29086, 94644, 389595, 29163, 29186, 29201, 29233, 29248, 127571, 127586, 29369, 29396, 29434, 29448, 29453, 62229, 29475, 29528, 62306, 29555, 29560, 62359, 62401, 62408, 29672, 95250, 29728, 29736, 29765, 95308, 95347, 128164, 62632, 29868, 128236, 29938, 29941, 29948, 30003, 128356, 95621, 128431, 30144, 30146, 30172, 62949, 95737, 30305, 95849, 30328, 30339, 95881, 128655, 128666, 30363, 30392, 95941, 30441, 194312, 96022, 96042, 128884, 30615, 30637, 30650, 63422, 63430, 30662, 358352, 30673, 30690, 30691, 30710, 30715, 129020, 30722, 30724, 30748, 30859, 30881, 30908, 30916, 30923, 63731, 31005, 31075, 96629, 31115, 162245, 96728, 129601, 96907, 31378, 64186, 326338, 31435, 31455, 31461, 97022, 162569, 31502, 31523, 97122, 129897, 31672, 97234, 31730, 195656, 31830, 31841, 97391, 31859, 64632, 64658, 130259, 64804, 32057, 32162, 130489, 32187, 196058, 32250, 32274, 65092, 32415, 65207, 32503, 98046, 32524, 65340, 32583, 32585, 32619, 32625, 98170, 98210, 32723, -26, -25, -17, -14, -11, 131070}
Unique values for yr_of_estab: {1800, 1801, 1804, 1807, 1809, 1810, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1830, 1831, 1832, 1833, 1834, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016}
Unique values for region_of_employment: {'South', 'West', 'Midwest', 'Northeast', 'Island'}
Unique values for prevailing_wage: {131073.31, 5.0899, 21.1327, 131094.31, 31.1755, 131105.0, 131106.68, 40.1191, 43.7525, 262189.0, 48.1309, 50.2928, 52.8519, 131126.46, 54.9196, 56.6515, 58.7389, 63.7364, 131136.69, 131140.5, 69.6449, 73.582, 74.2851, 74.4049, 77.3424, 78.6823, 89.5992, 131162.72, 92.6112, 97.3218, 99.3492, 100.0, 101.56, 100.93, 103.93, 104.56, 105.81, 106.25, 105.87, 108.31, 109.32, 109.06, 109.0, 110.5, 108.81, 108.12, 115.81, 116.75, 116.0, 116.56, 114.12, 120.56, 115.12, 122.57, 116.37, 124.1585, 118.43, 120.93, 127.31, 128.01, 128.37, 130.69, 130.0398, 127.3734, 131.6884, 128.12, 135.38, 136.56, 129.62, 138.69, 138.76, 140.82, 141.3424, 141.51, 139.8032, 144.76, 145.1134, 145.74, 138.875, 143.346, 149.4644, 147.0, 142.8752, 152.89, 147.1202, 154.26, 155.0951, 155.738, 131229.32, 158.3807, 158.5, 158.36, 156.8268, 159.2978, 163.07, 160.3648, 165.2722, 165.8365, 131234.61, 168.0793, 168.62, 131241.28, 262314.42, 168.1558, 173.5091, 174.594, 173.3297, 175.36, 177.89, 178.0827, 177.8352, 174.0, 181.3927, 179.62, 181.87, 178.8675, 176.76, 184.74, 131259.96, 187.0879, 189.0437, 188.6818, 182.8141, 192.37, 193.0432, 194.01, 194.503, 196.4013, 197.25, 197.9846, 199.5532, 192.06, 202.4744, 203.4146, 131275.93, 205.6246, 206.3, 207.1837, 208.5263, 209.88, 210.5073, 131278.27, 205.4479, 205.3793, 214.93, 215.1947, 216.4821, 213.4232, 218.38, 218.3542, 220.5704, 221.784, 221.1209, 222.8496, 222.6868, 225.6413, 226.0, 227.1764, 227.7353, 225.6105, 230.327, 230.4357, 231.938, 233.9425, 232.808, 131304.29, 234.4957, 131309.08, 131310.96, 230.14, 236.861, 239.6427, 242.0347, 243.2901, 131315.37, 131316.01, 246.81, 247.0206, 248.01, 248.6583, 250.8438, 131322.09, 252.43, 253.253, 254.937, 246.3592, 248.3727, 257.6062, 255.9271, 259.52, 259.4118, 261.9979, 261.5594, 260.6671, 261.92, 265.7185, 259.2239, 262.4586, 268.1379, 269.9173, 268.7924, 270.2818, 269.8894, 273.2008, 267.1333, 131347.64, 276.7576, 277.9945, 278.5388, 279.0018, 280.2427, 275.0627, 281.1569, 283.8, 283.4567, 285.1525, 284.0018, 287.2183, 288.4735, 289.8, 287.8058, 291.2804, 289.1887, 293.3152, 293.0452, 294.882, 292.0427, 297.1948, 298.1357, 299.6081, 298.8956, 300.9051, 301.2781, 303.0795, 301.0897, 131377.15, 300.0063, 307.1653, 307.9049, 309.606, 310.6986, 311.1659, 311.3324, 313.835, 314.6393, 314.2371, 316.8972, 317.7013, 318.6505, 319.36, 314.4384, 312.7783, 322.6621, 323.7, 324.2135, 325.1087, 325.1749, 327.9435, 328.9512, 329.1874, 330.3743, 329.0075, 328.9246, 325.346, 334.46, 131407.3, 336.9514, 335.5486, 338.5595, 338.2191, 339.0696, 341.0229, 341.34, 343.3205, 344.2022, 338.0171, 342.4484, 347.131, 341.808, 343.0688, 350.0159, 350.9681, 352.65, 352.4315, 131422.21, 355.613, 356.8087, 357.8194, 358.8772, 359.9641, 360.0767, 359.9667, 359.1049, 358.263, 357.8213, 361.8696, 359.5816, 367.31, 367.9114, 368.85, 370.3349, 371.8531, 363.7005, 373.2045, 373.7218, 375.6911, 373.2143, 375.6034, 377.4307, 379.87, 380.995, 381.7361, 382.2433, 383.3918, 381.6072, 385.796, 386.4868, 386.1515, 386.2526, 386.95, 390.1588, 391.8694, 390.8642, 393.4729, 394.2187, 395.995, 394.9713, 396.9152, 398.5782, 399.4489, 399.6297, 401.5855, 393.58, 403.7631, 404.4565, 403.334, 406.05, 131476.26, 131479.38, 408.9849, 410.1235, 411.2051, 412.3476, 410.6198, 414.5323, 414.9863, 408.9777, 409.975, 418.2298, 419.1893, 418.8264, 421.4584, 419.7764, 423.9009, 424.509, 424.08, 425.0178, 419.1758, 428.7372, 429.95, 429.7443, 431.8261, 431.6055, 433.2396, 434.3017, 434.3963, 436.5722, 430.8194, 438.855, 131510.83, 439.0866, 441.5777, 439.9897, 439.8307, 435.5681, 445.7888, 446.24, 445.4899, 448.9782, 449.4514, 450.9764, 451.5117, 452.2859, 452.037, 451.6964, 455.2163, 452.1367, 449.2679, 458.6381, 459.9704, 459.4009, 459.7524, 459.6712, 463.8686, 463.3112, 458.9084, 466.3655, 467.5247, 468.4512, 469.7371, 467.24, 470.6299, 464.6041, 473.5168, 474.9025, 475.2464, 476.24, 476.7579, 478.367, 471.7934, 474.047, 481.5371, 482.7664, 483.9891, 483.0851, 484.6503, 131557.74, 480.3174, 488.9859, 489.9182, 490.1568, 491.9991, 492.6745, 491.9346, 491.9008, 494.9521, 496.4588, 488.1947, 490.3426, 499.2207, 494.6279, 496.2104, 502.9275, 503.1522, 504.3171, 504.8187, 504.72, 507.93, 508.8883, 509.5368, 510.5607, 511.4655, 131584.5, 513.7152, 505.8025, 515.4184, 513.4421, 517.271, 518.0265, 511.5375, 519.1258, 521.0385, 521.7731, 523.6527, 517.5769, 525.9312, 518.531, 527.8901, 527.2303, 529.1105, 530.5959, 531.7683, 529.3875, 530.4704, 528.185, 527.6657, 536.0869, 537.2994, 529.5431, 539.4964, 539.8384, 536.553, 540.33, 543.7175, 544.0921, 543.5521, 546.2118, 547.5103, 544.2801, 543.7154, 546.5987, 551.779, 552.6891, 553.6915, 554.7338, 553.2211, 547.0719, 131629.78, 558.5524, 559.6169, 560.2798, 560.1519, 560.7972, 559.6412, 564.0663, 564.7043, 566.4743, 567.7643, 566.1703, 560.5899, 570.926, 571.9348, 572.8227, 572.514, 574.2465, 574.1964, 576.97, 575.3468, 574.55, 579.2598, 577.8283, 581.9219, 581.855, 583.7382, 579.3819, 583.3376, 582.45, 587.7049, 588.3444, 589.4545, 590.0203, 591.7602, 592.2029, 590.56, 594.7953, 588.3469, 596.2488, 597.9, 596.2339, 596.5164, 600.4991, 601.0742, 602.5, 597.273, 603.0547, 605.1812, 604.0816, 599.6041, 603.4404, 604.1603, 610.5874, 611.2748, 610.655, 613.71, 614.7183, 615.0013, 616.5072, 617.3676, 615.3414, 615.4815, 618.2058, 621.3853, 622.9059, 617.3345, 624.0905, 625.844, 626.7561, 627.9543, 624.8694, 629.7126, 630.66, 630.2337, 631.7448, 631.6161, 634.1042, 633.6646, 635.9458, 637.4872, 638.02, 631.3547, 640.6397, 640.8977, 642.6508, 643.4375, 641.4029, 645.353, 646.7635, 644.884, 645.2913, 649.6394, 649.5659, 649.1376, 652.7163, 653.4797, 651.2278, 655.9658, 656.6898, 649.44, 658.0041, 656.3975, 660.6679, 661.8469, 660.5249, 656.0788, 664.6442, 665.1571, 661.0799, 667.4133, 668.4393, 662.7582, 670.6567, 671.4491, 672.6842, 673.8178, 672.5571, 131745.49, 676.2335, 677.0829, 678.6486, 674.0447, 680.9274, 680.497, 682.8026, 683.6176, 675.3657, 131757.53, 686.4229, 679.3129, 688.1266, 688.7327, 690.3663, 691.1057, 692.4637, 692.9511, 131764.85, 689.9989, 693.8824, 697.8354, 698.9778, 698.2524, 698.944, 698.7048, 702.8717, 702.9446, 704.06, 705.3218, 706.1603, 707.433, 262852.71, 708.9617, 701.5948, 708.7259, 712.2584, 713.7807, 714.0764, 713.0041, 716.5913, 717.5354, 718.027, 718.6797, 131792.99, 721.5274, 719.9582, 723.5006, 724.0276, 723.9761, 724.3166, 724.9628, 727.7027, 729.8391, 730.4062, 727.0036, 730.6864, 733.98, 734.1893, 735.9425, 733.4222, 737.4472, 738.1177, 739.7268, 737.7488, 737.7518, 741.0381, 743.4468, 743.7198, 742.6434, 746.5986, 746.2808, 748.0707, 741.6666, 743.7925, 745.163, 747.7824, 753.3927, 131826.56, 755.2588, 756.9234, 750.5135, 758.7597, 759.4199, 758.771, 761.4506, 762.0136, 763.908, 764.8895, 131836.07, 766.8536, 767.9829, 768.4136, 769.4869, 131842.91, 771.2467, 770.0452, 773.3891, 773.1065, 774.2597, 776.9489, 777.8201, 774.708, 771.6902, 780.696, 781.7726, 782.5254, 783.4324, 784.2604, 784.9041, 786.5458, 786.188, 785.764, 783.8797, 786.5978, 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122187.35, 122195.12, 122203.35, 122215.53, 122222.53, 122231.2, 122239.88, 122240.98, 122240.81, 122255.17, 122257.16, 122257.96, 122260.05, 122262.21, 122283.58, 122284.82, 122293.19, 122310.01, 122323.65, 122324.22, 122330.0, 122332.69, 122349.51, 122353.74, 122358.8, 122360.7, 122376.73, 122380.57, 122387.28, 122388.47, 122395.57, 122414.77, 122418.29, 122424.6, 122440.88, 122454.82, 122465.21, 122474.72, 122479.42, 122482.33, 122506.94, 122511.0, 122528.95, 122535.0, 122540.55, 122561.09, 122565.13, 122566.14, 122580.62, 122582.6, 122588.72, 122590.93, 122591.85, 253668.86, 122615.23, 122616.55, 122622.08, 122624.42, 253698.68, 122629.45, 122630.54, 122642.28, 122648.11, 122651.65, 122663.94, 122674.76, 122684.72, 122685.88, 122691.96, 122691.02, 122695.72, 122696.23, 122697.43, 122703.66, 122711.51, 122716.68, 122720.12, 122745.13, 122759.79, 122769.34, 122770.0, 122771.52, 122774.89, 122784.9, 122812.56, 122814.02, 122819.19, 122828.94, 122829.47, 253915.96, 122848.3, 122855.65, 122859.37, 122865.02, 122890.56, 122896.09, 122898.11, 122899.51, 122902.21, 122903.03, 122912.17, 122927.88, 122935.37, 122936.33, 254015.02, 122952.87, 122959.98, 122959.28, 122963.12, 122965.96, 122993.83, 122996.86, 123017.61, 123018.45, 123023.1, 123039.99, 123040.54, 123045.14, 123048.91, 123049.88, 123049.55, 254157.54, 123087.21, 123092.29, 123092.38, 123101.33, 123102.04, 123118.78, 123120.05, 123125.64, 123130.98, 123144.8, 123148.09, 123157.63, 254230.21, 123175.08, 123176.33, 123187.32, 123194.1, 254275.73, 123214.48, 123222.87, 123238.17, 123244.52, 123258.12, 123259.44, 123266.89, 123273.68, 123276.25, 123285.69, 254361.39, 123297.27, 123302.86, 123316.75, 123329.52, 123330.2, 123333.42, 123346.27, 123360.97, 123374.86, 123380.14, 123381.6, 123407.28, 123417.87, 107.1327, 123423.01, 123437.12, 123437.83, 123438.97, 123440.24, 123447.15, 123447.58, 254522.41, 123457.29, 123468.56, 123475.42, 123480.64, 123480.07, 123482.25, 123490.53, 123502.09, 123505.66, 123519.71, 123523.22, 254604.08, 123539.66, 123541.71, 123544.17, 123553.91, 123555.45, 123565.74, 123565.21, 123584.93, 123597.59, 123620.16, 123631.14, 123637.31, 123640.01, 123642.69, 123654.65, 123656.77, 123673.55, 123684.49, 123688.79, 123689.54, 123688.44, 123692.21, 123699.45, 123706.67, 123707.36, 123711.01, 123721.58, 170.9434, 123737.54, 123739.41, 123744.25, 123748.04, 123752.0, 123756.6, 123773.37, 123775.68, 123783.66, 254858.86, 254861.76, 123826.18, 123836.68, 123845.84, 123856.7, 123870.96, 123879.29, 123882.1, 123908.67, 123918.91, 123919.34, 123928.02, 123931.2, 123939.49, 123940.77, 123952.35, 123953.16, 123956.57, 123957.0, 123961.78, 255033.75, 123963.22, 123966.37, 123970.66, 123974.14, 123984.95, 123993.41, 124015.94, 124028.03, 124028.96, 124031.52, 124051.23, 124056.32, 124082.68, 124085.73, 124092.0, 124102.09, 124108.52, 124127.0, 124129.32, 124133.29, 124138.9, 124138.64, 124148.0, 124155.88, 124155.24, 254.8773, 124160.54, 124168.49, 124187.69, 124201.98, 124211.98, 124215.92, 124218.44, 124220.84, 124235.53, 124244.19, 124252.65, 124264.83, 124265.9, 124266.45, 124267.16, 124270.78, 124286.96, 124298.43, 124312.58, 124314.21, 124316.92, 124317.33, 124318.91, 124370.98, 124370.09, 124382.47, 124401.37, 124428.23, 124434.41, 124435.47, 124439.76, 124449.18, 124457.5, 124460.67, 124480.48, 318.5846, 124489.06, 124495.5, 124511.86, 124524.31, 124525.38, 124525.47, 124525.43, 124529.59, 124531.35, 124541.48, 124550.61, 255626.72, 124573.61, 124581.3, 124586.62, 124587.31, 124591.19, 341.7415, 255674.94, 124604.5, 124628.13, 124658.25, 124659.16, 124659.28, 124663.67, 124668.62, 124682.1, 124682.81, 124686.12, 359.7006, 255771.26, 124705.74, 124709.19, 364.9326, 124715.65, 124716.6, 124729.03, 124745.51, 124746.01, 371.8256, 124760.92, 124778.03, 124798.99, 124801.84, 124810.53, 124823.44, 124829.82, 124830.48, 124851.97, 124864.48, 124870.32, 124873.74, 124878.65, 124883.71, 124893.09, 124895.0, 124900.16, 124910.26, 124922.15, 124925.02, 124934.6, 124937.02, 124940.96, 124943.29, 124945.3, 124947.51, 124956.98, 124957.72, 413.3845, 124960.86, 124968.16, 124973.21, 124974.58, 124988.32, 124993.47, 124995.72, 124998.3, 125014.69, 125015.28, 125029.22, 125034.41, 125038.9, 125070.57, 125070.15, 125076.08, 125086.67, 125088.46, 125089.36, 125096.16, 125097.25, 125106.92, 125113.27, 125115.8, 125122.1, 125123.24, 125127.24, 125130.14, 256205.38, 125144.74, 125172.89, 125175.16, 125178.21, 256261.78, 125189.0, 125193.02, 125201.1, 125222.77, 125230.19, 125240.69, 125246.83, 125284.22, 125290.11, 125311.45, 125320.77, 125323.7, 125325.51, 125336.9, 125345.26, 125349.52, 125352.49, 125357.27, 496.3899, 125377.72, 125382.31, 125384.93, 125393.1, 125395.07, 501.3166, 125403.68, 125403.09, 125406.43, 125412.24, 505.6952, 125422.28, 256502.28, 125454.81, 125457.0, 125465.83, 125470.03, 125472.25, 125473.59, 125481.66, 518.3827, 125489.91, 125496.73, 125498.7, 125499.14, 115.1174, 125531.29, 125539.15, 256618.11, 125560.71, 125569.1, 128.6745, 125574.83, 125579.78, 125601.58, 541.2883, 125612.2, 125624.14, 125625.87, 125624.38, 125655.65, 125661.75, 125661.19, 125683.03, 125691.0, 125702.65, 125704.68, 125729.45, 125731.81, 125732.64, 125732.19, 125740.7, 125750.1, 125757.81, 125796.26, 125796.3, 125796.82, 125799.78, 125807.4, 125817.82, 125820.7, 256903.7, 125840.4, 125849.89, 125850.71, 125865.48, 125869.86, 125880.21, 125880.68, 125908.42, 125913.28, 125916.86, 125925.71, 125926.18, 125939.31, 609.8755, 125954.21, 125960.81, 613.8004, 125966.68, 125970.79, 125978.46, 125987.84, 620.9771, 126008.86, 126016.18, 126022.16, 126031.84, 126040.08, 126044.24, 126049.56, 126055.3, 632.4488, 633.679, 126070.95, 126072.88, 126073.98, 126098.49, 126099.74, 126106.35, 644.1129, 126122.47, 126123.21, 126123.79, 645.8773, 126145.21, 126150.37, 126153.78, 126174.98, 126189.3, 126194.09, 661.4007, 126215.33, 126224.41, 126225.3, 126232.53, 126243.05, 126244.31, 126258.45, 672.0522, 126265.26, 126269.34, 126270.65, 126293.71, 126307.46, 126315.79, 126319.2, 126322.08, 685.554, 126329.96, 126336.28, 126350.08, 126351.57, 126352.88, 690.4362, 126371.14, 126375.0, 126379.02, 126379.64, 126381.75, 126399.34, 705.4771, 126431.51, 707.813, 126453.44, 126460.74, 126473.89, 126481.29, 126497.4, 126498.81, 126503.87, 126506.11, 126511.45, 126516.39, 126517.52, 126532.11, 126533.17, 126538.01, 728.9416, 126548.59, 126549.52, 122.6374, 126569.38, 126590.38, 126593.79, 126597.1, 126612.68, 126622.47, 126668.89, 126673.41, 126684.93, 126693.97, 257775.44, 257781.92, 126716.84, 126721.77, 126724.78, 126727.45, 126739.96, 126744.96, 126744.18, 126746.79, 126761.15, 126768.92, 126778.92, 126783.3, 126783.22, 126796.19, 126813.75, 126822.93, 126826.57, 787.1327, 126840.03, 257916.69, 126845.21, 789.4758, 126858.8, 126861.43, 126862.33, 126875.34, 795.947, 126884.34, 126892.33, 257966.97, 126895.3, 126906.32, 126912.71, 126916.75, 802.4758, 126921.34, 257994.73, 126928.13, 126935.9, 126935.24, 258044.72, 126992.77, 127012.42, 127063.5, 127064.3, 127065.45, 127069.45, 833.2078, 127078.0, 127079.96, 127084.5, 127085.06, 127096.87, 127110.13, 127122.93, 844.7739, 127163.7, 127169.72, 127174.77, 127180.67, 127185.34, 127192.61, 127192.55, 127198.53, 127209.06, 127214.67, 258292.84, 127222.23, 127234.69, 127242.79, 127246.72, 127247.75, 127248.19, 127254.87, 127260.07, 127260.47, 127271.51, 127273.02, 127279.96, 127279.97, 127288.25, 127296.66, 127303.96, 127312.41, 127325.21, 127333.13, 127346.84, 127352.29, 127370.6, 127380.63, 127381.46, 127396.37, 127403.07, 899.036, 258477.93, 127408.62, 127425.43, 127429.32, 127430.73, 127431.99, 127437.12, 127437.06, 127452.13, 127468.54, 127472.09, 127475.66, 127480.33, 127490.32, 127491.16, 127500.61, 127517.66, 127517.18, 127535.86, 127542.64, 127548.46, 930.6453, 127564.06, 127580.56, 127581.78, 127597.92, 127610.62, 127619.42, 127639.05, 127648.26, 127655.87, 127671.84, 127678.25, 127682.93, 127695.19, 127706.35, 127740.34, 127752.53, 127757.84, 127759.73, 127763.96, 127765.0, 127765.36, 127771.9, 127772.02, 127774.69, 127778.82, 127822.96, 127826.35, 127828.06, 171.0931, 127856.8, 127856.09, 127862.13, 127868.01, 127885.35, 127887.26, 127890.8, 127892.96, 127904.94, 127908.22, 127908.53, 127911.35, 127922.38, 127925.01, 127934.59, 127935.21, 127951.85, 127953.07, 127960.51, 127965.87, 127978.54, 127982.72, 127991.5, 127997.92, 128004.06, 128008.3, 259083.16, 128016.42, 128019.96, 259097.55, 128044.08, 128078.97, 128093.42, 128104.61, 128133.36, 128134.04, 128150.25, 128151.03, 128158.37, 128166.97, 128167.33, 128173.92, 128182.07, 128197.11, 128199.58, 259277.18, 128209.74, 128215.82, 128220.69, 128238.66, 128239.79, 128245.38, 128264.12, 257.6129, 128278.05, 128286.39, 128289.76, 128293.72, 128294.66, 128330.67, 128335.44, 128346.48, 128351.74, 128367.28, 128371.16, 128376.17, 128384.95, 259461.84, 128404.6, 286.8984, 128422.5, 128434.3, 128439.88, 294.402, 128461.25, 128469.65, 128470.83, 128474.33, 259556.53, 128504.69, 128505.27, 128514.42, 128525.19, 128531.63, 128538.47, 128544.2, 128547.56, 128559.73, 128568.92, 128574.6, 128587.22, 128598.74, 128600.87, 324.902, 128639.0, 128651.42, 259739.35, 337.8539, 338.42, 128683.76, 128687.82, 128694.12, 128710.47, 128711.52, 128720.83, 128735.13, 128740.56, 351.7109, 128748.38, 128758.39, 128759.76, 259835.69, 128766.79, 128782.21, 128792.45, 363.8341, 128821.76, 128824.08, 128829.03, 128831.85, 128833.78, 128847.07, 128850.75, 128852.61, 128854.16, 128870.48, 128877.33, 128883.23, 128883.16, 128890.94, 128894.18, 128901.25, 128902.6, 128911.54, 128913.55, 128923.23, 128925.29, 128927.59, 128927.12, 128931.59, 128939.46, 128946.06, 128950.94, 128952.12, 395.9807, 128981.51, 128983.07, 128983.47, 399.2752, 128986.5, 128985.38, 128999.16, 129013.48, 129017.73, 129020.11, 129020.92, 3.4889, 129032.04, 129050.28, 129058.98, 129065.47, 417.8557, 129087.05, 129094.64, 129095.51, 129105.3, 423.9645, 129110.86, 424.768, 129114.16, 129115.51, 129122.1, 129136.93, 129139.75, 433.152, 129156.7, 129166.04, 129169.76, 129184.97, 129189.46, 446.9555, 129227.39, 129234.29, 129235.76, 129240.68, 260321.86, 129255.91, 129261.95, 129265.77, 129267.0, 129276.92, 129283.7, 129289.13, 129289.47, 129294.14, 129300.86, 129307.2, 129319.09, 129321.81, 129333.24, 129346.54, 129355.58, 129365.58, 129390.69, 129391.67, 129422.72, 129425.05, 129434.63, 129436.25, 129450.64, 129452.48, 129455.03, 129458.05, 129462.04, 129462.53, 129520.23, 129521.85, 506.6736, 129528.3, 129533.41, 129541.91, 129547.83, 129554.24, 129559.22, 129562.3, 129585.98, 129615.66, 129622.52, 129627.45, 129628.39, 129632.27, 129640.76, 129647.46, 129666.34, 129670.44, 129676.9, 129679.06, 129684.53, 129695.24, 129697.07, 129698.52, 129701.94, 129704.95, 129705.95, 129715.62, 129727.5, 129731.91, 129744.35, 129748.81, 129753.18, 129765.37, 129776.33, 129778.95, 129798.65, 129800.15, 156.3903, 129811.82, 129812.63, 129812.29, 129819.33, 129822.93, 129831.54, 129842.88, 129845.83, 129862.7, 129873.18, 129883.44, 129895.13, 129897.06, 129901.45, 129904.83, 176.8885, 129919.65, 129924.38, 129941.81, 129951.66, 129952.96, 129954.04, 129972.96, 129972.45, 129987.35, 192.5117, 129996.95, 130002.47, 130008.73, 130009.87, 130008.01, 130013.75, 130069.92, 130070.64, 130081.84, 130081.59, 130093.45, 130096.45, 130099.37, 130116.43, 130132.64, 130136.12, 130137.7, 130160.33, 130161.11, 130171.7, 228.2617, 130175.47, 130181.59, 130192.56, 130209.34, 130266.41, 130279.37, 130289.74, 130305.09, 130318.3, 130320.79, 130343.26, 130352.78, 130358.75, 130362.86, 130370.42, 130385.72, 130396.85, 130396.39, 130404.72, 130409.82, 130409.56, 130415.0, 261496.17, 130429.18, 130429.73, 130441.34, 130442.88, 130443.76, 130443.9, 130446.31, 130455.91, 130456.77, 130464.01, 130465.35, 130477.23, 261554.61, 261556.56, 130491.58, 130493.92, 130510.28, 130513.76, 130515.51, 130536.55, 130538.57, 130542.7, 130544.55, 130545.32, 100.73, 101.73, 130559.63, 130562.97, 130563.12, 130565.83, 109.48, 130600.53, 130600.27, 130604.13, 111.73, 130610.73, 130611.92, 113.23, 130623.82, 130631.87, 130636.68, 130637.71, 130645.36, 130651.5, 130652.8, 261729.62, 130671.23, 130674.71, 130680.27, 130690.67, 130701.58, 130705.18, 130706.81, 130735.67, 130737.85, 130749.9, 130750.12, 130750.62, 130753.83, 130762.79, 130763.98, 130781.13, 130785.67, 130798.67, 130805.39, 130817.42, 130817.72, 130837.35, 130852.41, 130860.17, 130876.09, 130886.71, 130896.26, 130936.52, 130983.03, 130994.76, 130996.02, 131001.97, 131023.37, 131032.71, 131032.99}
Unique values for unit_of_wage: {'Month', 'Year', 'Week', 'Hour'}
Unique values for full_time_position: {'Y', 'N'}
Unique values for case_status: {'Denied', 'Certified'}
data['case_status'].value_counts()
case_status Certified 17018 Denied 8462 Name: count, dtype: int64
data.info()
<class 'pandas.core.frame.DataFrame'> RangeIndex: 25480 entries, 0 to 25479 Data columns (total 12 columns): # Column Non-Null Count Dtype --- ------ -------------- ----- 0 case_id 25480 non-null object 1 continent 25480 non-null object 2 education_of_employee 25480 non-null object 3 has_job_experience 25480 non-null object 4 requires_job_training 25480 non-null object 5 no_of_employees 25480 non-null int64 6 yr_of_estab 25480 non-null int64 7 region_of_employment 25480 non-null object 8 prevailing_wage 25480 non-null float64 9 unit_of_wage 25480 non-null object 10 full_time_position 25480 non-null object 11 case_status 25480 non-null object dtypes: float64(1), int64(2), object(9) memory usage: 2.3+ MB
#Assigning features with object data type to a variable.
cols = data.select_dtypes(['object'])
cols.columns
Index(['case_id', 'continent', 'education_of_employee', 'has_job_experience',
'requires_job_training', 'region_of_employment', 'unit_of_wage',
'full_time_position', 'case_status'],
dtype='object')
#Changing object datatype to category
for i in cols.columns:
data[i] = data[i].astype('category')
#Checking data types again
data.info()
<class 'pandas.core.frame.DataFrame'> RangeIndex: 25480 entries, 0 to 25479 Data columns (total 12 columns): # Column Non-Null Count Dtype --- ------ -------------- ----- 0 case_id 25480 non-null category 1 continent 25480 non-null category 2 education_of_employee 25480 non-null category 3 has_job_experience 25480 non-null category 4 requires_job_training 25480 non-null category 5 no_of_employees 25480 non-null int64 6 yr_of_estab 25480 non-null int64 7 region_of_employment 25480 non-null category 8 prevailing_wage 25480 non-null float64 9 unit_of_wage 25480 non-null category 10 full_time_position 25480 non-null category 11 case_status 25480 non-null category dtypes: category(9), float64(1), int64(2) memory usage: 2.0 MB
#Checking for missing values
missing_values = data.isnull().sum()
print(f'There are {missing_values.sum()} missing values')
There are 0 missing values
#Checking for duplicates
duplicates = data.duplicated().sum()
print(f'There are {duplicates} duplicates')
There are 0 duplicates
#Checking statistical summary
data.describe(include='all').T
| count | unique | top | freq | mean | std | min | 25% | 50% | 75% | max | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| case_id | 25480 | 25480 | EZYV01 | 1 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| continent | 25480 | 6 | Asia | 16861 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| education_of_employee | 25480 | 4 | Bachelor's | 10234 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| has_job_experience | 25480 | 2 | Y | 14802 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| requires_job_training | 25480 | 2 | N | 22525 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| no_of_employees | 25480.00000 | NaN | NaN | NaN | 5667.04321 | 22877.92885 | -26.00000 | 1022.00000 | 2109.00000 | 3504.00000 | 602069.00000 |
| yr_of_estab | 25480.00000 | NaN | NaN | NaN | 1979.40993 | 42.36693 | 1800.00000 | 1976.00000 | 1997.00000 | 2005.00000 | 2016.00000 |
| region_of_employment | 25480 | 5 | Northeast | 7195 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| prevailing_wage | 25480.00000 | NaN | NaN | NaN | 74455.81459 | 52815.94233 | 2.13670 | 34015.48000 | 70308.21000 | 107735.51250 | 319210.27000 |
| unit_of_wage | 25480 | 4 | Year | 22962 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| full_time_position | 25480 | 2 | Y | 22773 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| case_status | 25480 | 2 | Certified | 17018 | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
#Identifying rows with negative number of employees in company
negative_values_data = data[data['no_of_employees'] < 0]
negative_values_data
| case_id | continent | education_of_employee | has_job_experience | requires_job_training | no_of_employees | yr_of_estab | region_of_employment | prevailing_wage | unit_of_wage | full_time_position | case_status | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 245 | EZYV246 | Europe | Master's | N | N | -25 | 1980 | Northeast | 39452.99000 | Year | Y | Certified |
| 378 | EZYV379 | Asia | Bachelor's | N | Y | -11 | 2011 | Northeast | 32506.14000 | Year | Y | Denied |
| 832 | EZYV833 | South America | Master's | Y | N | -17 | 2002 | South | 129701.94000 | Year | Y | Certified |
| 2918 | EZYV2919 | Asia | Master's | Y | N | -26 | 2005 | Midwest | 112799.46000 | Year | Y | Certified |
| 6439 | EZYV6440 | Asia | Bachelor's | N | N | -14 | 2013 | South | 103.97000 | Hour | Y | Denied |
| 6634 | EZYV6635 | Asia | Bachelor's | Y | N | -26 | 1923 | West | 5247.32000 | Year | Y | Denied |
| 7224 | EZYV7225 | Europe | Doctorate | N | N | -25 | 1998 | Midwest | 141435.95000 | Year | Y | Certified |
| 7281 | EZYV7282 | Asia | High School | N | N | -14 | 2000 | Midwest | 58488.50000 | Year | Y | Denied |
| 7318 | EZYV7319 | Asia | Bachelor's | Y | Y | -26 | 2006 | South | 115005.61000 | Year | Y | Certified |
| 7761 | EZYV7762 | Asia | Master's | N | N | -11 | 2009 | Midwest | 38457.51000 | Year | Y | Certified |
| 9872 | EZYV9873 | Europe | Master's | Y | N | -26 | 1996 | South | 37397.05000 | Year | Y | Certified |
| 11493 | EZYV11494 | Asia | High School | Y | N | -14 | 1999 | South | 27599.35000 | Year | Y | Denied |
| 13471 | EZYV13472 | North America | Master's | N | N | -17 | 2003 | Northeast | 257.24130 | Hour | Y | Denied |
| 14022 | EZYV14023 | Asia | Bachelor's | N | Y | -11 | 1946 | Northeast | 108403.56000 | Year | Y | Certified |
| 14146 | EZYV14147 | Asia | Bachelor's | N | Y | -26 | 1954 | West | 81982.27000 | Year | Y | Certified |
| 14726 | EZYV14727 | Asia | Master's | N | N | -11 | 2000 | Midwest | 167851.80000 | Year | Y | Certified |
| 15600 | EZYV15601 | Asia | Bachelor's | N | N | -14 | 2014 | South | 24641.61000 | Year | Y | Denied |
| 15859 | EZYV15860 | Asia | High School | N | N | -11 | 1969 | South | 44640.60000 | Year | Y | Denied |
| 16157 | EZYV16158 | Asia | Master's | Y | N | -11 | 1994 | South | 62681.25000 | Year | Y | Certified |
| 16883 | EZYV16884 | North America | Bachelor's | Y | N | -26 | 1968 | Northeast | 168.15580 | Hour | Y | Denied |
| 17006 | EZYV17007 | Asia | Doctorate | Y | N | -11 | 1984 | West | 25753.51000 | Year | Y | Denied |
| 17655 | EZYV17656 | North America | Bachelor's | Y | N | -17 | 2007 | Northeast | 129753.18000 | Year | Y | Denied |
| 17844 | EZYV17845 | Asia | Bachelor's | N | N | -14 | 2012 | West | 29325.85000 | Year | Y | Denied |
| 17983 | EZYV17984 | Asia | Bachelor's | N | N | -26 | 2004 | South | 84359.98000 | Year | Y | Denied |
| 20815 | EZYV20816 | Asia | Bachelor's | N | Y | -17 | 1990 | West | 91897.57000 | Year | Y | Certified |
| 20984 | EZYV20985 | Europe | Doctorate | Y | N | -14 | 1989 | Midwest | 37012.80000 | Year | Y | Certified |
| 21255 | EZYV21256 | North America | High School | N | N | -25 | 1987 | South | 99405.47000 | Year | N | Denied |
| 21760 | EZYV21761 | Asia | Bachelor's | Y | N | -25 | 2000 | West | 100463.58000 | Year | Y | Certified |
| 21944 | EZYV21945 | Africa | Master's | Y | N | -25 | 1977 | Midwest | 79150.51000 | Year | Y | Certified |
| 22084 | EZYV22085 | North America | Bachelor's | Y | N | -14 | 1980 | West | 691.06090 | Hour | Y | Denied |
| 22388 | EZYV22389 | Asia | Master's | Y | N | -14 | 1986 | South | 17893.11000 | Year | Y | Certified |
| 23186 | EZYV23187 | Asia | Master's | N | Y | -11 | 2007 | Midwest | 120195.35000 | Year | Y | Certified |
| 23476 | EZYV23477 | Europe | Master's | Y | N | -11 | 2000 | West | 95072.75000 | Year | Y | Denied |
Leading Questions:
Answer: Yes, educational level plays a big role in visa approvals, as seen in the visuals, the ratio of approvals increases with each employee higher level of education. To put in to perspective, over 80% of visa applications from employees with Doctorate were approved compared to the about 35% for those with only high school education.
Answer: There is no much difference in visa status accross the different continents,eventhough European employees slightly had more approvals than the employees from other continents.
Answer: Yes, experience profeesionals are more likely to get their visa approved compared to employees with no experience. From the data, about 75% of experienced employees had their visas approved compared to about 55% for the employees without experience.
Answer: The yearly pay unit is most likely to be approved, while the hourly pay unit is the least likely to be approved.
Answer: The prevailing wage does not happen to affect the approval status of the employees visa.
#Creating a copy of dataset for EDA
data1 = data.copy()
#dropping unique identifier column 'case_id'
data1 = data1.drop('case_id', axis=1) # Remove 'case_id:' column (axis=1 for columns)
data1.columns
Index(['continent', 'education_of_employee', 'has_job_experience',
'requires_job_training', 'no_of_employees', 'yr_of_estab',
'region_of_employment', 'prevailing_wage', 'unit_of_wage',
'full_time_position', 'case_status'],
dtype='object')
#Defining custom variable t plot combine histogram and box plot
def histogram_boxplot(data, feature, figsize=(15, 10), kde=False, bins=None):
"""
Boxplot and histogram combined
data: dataframe
feature: dataframe column
figsize: size of figure (default (15,10))
kde: whether to show the density curve (default False)
bins: number of bins for histogram (default None)
"""
f2, (ax_box2, ax_hist2) = plt.subplots(
nrows=2, # Number of rows of the subplot grid= 2
sharex=True, # x-axis will be shared among all subplots
gridspec_kw={"height_ratios": (0.25, 0.75)},
figsize=figsize,
) # creating the 2 subplots
sns.boxplot(
data=data1, x=feature, ax=ax_box2, showmeans=True, color="violet"
) # boxplot will be created and a triangle will indicate the mean value of the column
sns.histplot(
data=data1, x=feature, kde=kde, ax=ax_hist2, bins=bins
) if bins else sns.histplot(
data=data1, x=feature, kde=kde, ax=ax_hist2
) # For histogram
ax_hist2.axvline(
data1[feature].mean(), color="green", linestyle="--"
) # Add mean to the histogram
ax_hist2.axvline(
data1[feature].median(), color="black", linestyle="-"
) # Add median to the histogram
# function to create labeled barplots
def labeled_barplot(data, feature, perc=True, n=None):
"""
Barplot with percentage at the top
data: dataframe
feature: dataframe column
perc: whether to display percentages instead of count (default is False)
n: displays the top n category levels (default is None, i.e., display all levels)
"""
total = len(data[feature]) # length of the column
count = data1[feature].nunique()
if n is None:
plt.figure(figsize=(count + 2, 6))
else:
plt.figure(figsize=(n + 2, 6))
plt.xticks(rotation=90, fontsize=15)
ax = sns.countplot(
data=data1,
x=feature,
palette="Paired",
order=data[feature].value_counts().index[:n],
)
for p in ax.patches:
if perc == True:
label = "{:.1f}%".format(
100 * p.get_height() / total
) # percentage of each class of the category
else:
label = p.get_height() # count of each level of the category
x = p.get_x() + p.get_width() / 2 # width of the plot
y = p.get_height() # height of the plot
ax.annotate(
label,
(x, y),
ha="center",
va="center",
size=12,
xytext=(0, 5),
textcoords="offset points",
) # annotate the percentage
plt.show() # show the plot
#Defining function to plot stacked barplot
def stacked_barplot(data, predictor, target):
"""
Print the category counts and plot a stacked bar chart
data: dataframe
predictor: independent variable
target: target variable
"""
count = data1[predictor].nunique()
sorter = data1[target].value_counts().index[-1]
tab1 = pd.crosstab(data1[predictor], data1[target], margins=True).sort_values(
by=sorter, ascending=False
)
print(tab1)
print("-" * 120)
tab = pd.crosstab(data1[predictor], data1[target], normalize="index").sort_values(
by=sorter, ascending=False
)
tab.plot(kind="bar", stacked=True, figsize=(count + 5, 5))
plt.legend(
loc="lower left", frameon=False,
)
plt.legend(loc="upper left", bbox_to_anchor=(1, 1))
plt.show()
# function to plot distributions wrt target
def distribution_plot_wrt_target(data, predictor, target):
fig, axs = plt.subplots(2, 2, figsize=(12, 10))
target_uniq = data1[target].unique()
axs[0, 0].set_title("Distribution of target for target=" + str(target_uniq[0]))
sns.histplot(
data=data1[data1[target] == target_uniq[0]],
x=predictor,
kde=True,
ax=axs[0, 0],
color="teal",
stat="density",
)
axs[0, 1].set_title("Distribution of target for target=" + str(target_uniq[1]))
sns.histplot(
data=data1[data1[target] == target_uniq[1]],
x=predictor,
kde=True,
ax=axs[0, 1],
color="orange",
stat="density",
)
axs[1, 0].set_title("Boxplot w.r.t target")
sns.boxplot(data=data1, x=target, y=predictor, ax=axs[1, 0], palette="gist_rainbow")
axs[1, 1].set_title("Boxplot (without outliers) w.r.t target")
sns.boxplot(
data=data,
x=target,
y=predictor,
ax=axs[1, 1],
showfliers=False,
palette="gist_rainbow",
)
plt.tight_layout()
plt.show()
# Check for continuous data types
continuous_cols = data.select_dtypes(include=[np.number]) # Select numeric columns
# Loop through continuous columns
for col in continuous_cols.columns:
plt.figure() # Create a new figure for each plot
histogram_boxplot(data1, col) # Pass the column name (feature)
# Extract the column title from the DataFrame
col_title = data1.columns.get_loc(col) # Get the column index and use it to retrieve the title
plt.title(col_title) # Set the plot title using the column title
plt.show()
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
# Check for categorical data types
categorical_cols = data1.select_dtypes(include=['object']) # Select category columns (categorical data)
# Loop through categorical columns
for col in categorical_cols.columns:
plt.figure() # Create a new figure for each plot
labeled_barplot(data, col) # Plot bar chart of categorical variables
plt.show();
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
<Figure size 640x480 with 0 Axes>
Observations
data2 = data1.copy()
# Converting Boolean variables to binary coding
data2['case_status'] = data2['case_status'].replace({'Certified': 1, 'Denied': 0})
data2['full_time_position'] = data2['full_time_position'].replace({'Y': 1, 'N': 0})
data2['requires_job_training'] = data2['requires_job_training'].replace({'Y': 1, 'N': 0})
data2['has_job_experience'] = data2['has_job_experience'].replace({'Y': 1, 'N': 0})
# One-hot encoding non-ordinal features
def create_dummies(data2, specific_cols):
"""
Creates dummy variables for specific columns in a pandas DataFrame.
Args:
data: The pandas DataFrame.
specific_cols (list): A list of column names to convert to dummy variables.
Returns:
pandas.DataFrame: The DataFrame with new dummy variables.
"""
# Create dummy variables for the specified columns
dummies = pd.get_dummies(data2[specific_cols], drop_first=False)
# Drop the original columns from the DataFrame
data2 = data2.drop(columns=specific_cols)
# Combine original data without the specified columns with dummy variables
return pd.concat([data2, dummies], axis=1)
specific_cols = ['unit_of_wage', 'region_of_employment', 'continent'] # Columns to convert to dummies
data2 = create_dummies(data2, specific_cols) # Saving dummy variables
# Ordinal encoding features with natural order
data2['education_of_employee'] = data2['education_of_employee'].replace({'High School': 1, "Bachelor's": 2, "Master's": 3,'Doctorate': 4})
data2.head()
| education_of_employee | has_job_experience | requires_job_training | no_of_employees | yr_of_estab | prevailing_wage | full_time_position | case_status | unit_of_wage_Hour | unit_of_wage_Month | unit_of_wage_Week | unit_of_wage_Year | region_of_employment_Island | region_of_employment_Midwest | region_of_employment_Northeast | region_of_employment_South | region_of_employment_West | continent_Africa | continent_Asia | continent_Europe | continent_North America | continent_Oceania | continent_South America | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 0 | 0 | 14513 | 2007 | 592.20290 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 3 | 1 | 0 | 2412 | 2002 | 83425.65000 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 2 | 2 | 0 | 1 | 44444 | 2008 | 122996.86000 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 3 | 2 | 0 | 0 | 98 | 1897 | 83434.03000 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 |
| 4 | 3 | 1 | 0 | 1082 | 2005 | 149907.39000 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
# creating a list of numerical columns
num_cols = data2.select_dtypes(include=np.number).columns.tolist()
#plotting correlation heat map
plt.figure(figsize=(12, 7))
sns.heatmap(
data2[num_cols].corr(), annot=True, vmin=-1, vmax=1, fmt=".2f", cmap="Spectral")
plt.show()
Observations
plt.figure()
stacked_barplot(data,'education_of_employee', 'case_status')
plt.show();
case_status Certified Denied All education_of_employee All 17018 8462 25480 Bachelor's 6367 3867 10234 High School 1164 2256 3420 Master's 7575 2059 9634 Doctorate 1912 280 2192 ------------------------------------------------------------------------------------------------------------------------
<Figure size 640x480 with 0 Axes>
plt.figure()
stacked_barplot(data,'has_job_experience','case_status' )
plt.show();
case_status Certified Denied All has_job_experience All 17018 8462 25480 N 5994 4684 10678 Y 11024 3778 14802 ------------------------------------------------------------------------------------------------------------------------
<Figure size 640x480 with 0 Axes>
plt.figure()
stacked_barplot(data,'requires_job_training','case_status', )
plt.show();
case_status Certified Denied All requires_job_training All 17018 8462 25480 N 15012 7513 22525 Y 2006 949 2955 ------------------------------------------------------------------------------------------------------------------------
<Figure size 640x480 with 0 Axes>
plt.figure()
sns.boxplot(data = data,x = 'case_status' , y = 'no_of_employees')
plt.title('Boxplot of Number of Employees by Case Status')
plt.tight_layout()
plt.show();
sns.boxplot(data=data,x= 'case_status' ,y= 'no_of_employees',showfliers=False, palette="gist_rainbow")
plt.title('Boxplot of Number of Employees by Case Status (Excluding Outliers)')
plt.tight_layout()
plt.show();
# Calculate the bins based on 20-year intervals
data2['year_established'] = pd.cut(data2['yr_of_estab'], bins=range(data2['yr_of_estab'].min(), data2['yr_of_estab'].max() + 21, 20), right=False)
# Plot the countplot with the specified bins
plt.figure()
sns.countplot(data=data2, x='year_established', hue='case_status')
# Modify legend labels
plt.legend(title='Case Status', labels=['Denied', 'Approved'])
plt.xticks(rotation=45) # Rotate x-axis labels for better readability
plt.show()
plt.figure()
sns.boxplot(data, x = 'case_status', y ='prevailing_wage', )
plt.show();
There is not much dfference between visa application status for emplyees based of the prevailing wage of their jobs.
plt.figure()
stacked_barplot(data,'full_time_position','case_status' )
plt.show();
case_status Certified Denied All full_time_position All 17018 8462 25480 Y 15163 7610 22773 N 1855 852 2707 ------------------------------------------------------------------------------------------------------------------------
<Figure size 640x480 with 0 Axes>
plt.figure()
stacked_barplot(data,'unit_of_wage','case_status', )
plt.show();
case_status Certified Denied All unit_of_wage All 17018 8462 25480 Year 16047 6915 22962 Hour 747 1410 2157 Week 169 103 272 Month 55 34 89 ------------------------------------------------------------------------------------------------------------------------
<Figure size 640x480 with 0 Axes>
plt.figure()
stacked_barplot(data,'region_of_employment','case_status', )
plt.show();
case_status Certified Denied All region_of_employment All 17018 8462 25480 Northeast 4526 2669 7195 West 4100 2486 6586 South 4913 2104 7017 Midwest 3253 1054 4307 Island 226 149 375 ------------------------------------------------------------------------------------------------------------------------
<Figure size 640x480 with 0 Axes>
plt.figure()
stacked_barplot(data,'continent','case_status', )
plt.show();
case_status Certified Denied All continent All 17018 8462 25480 Asia 11012 5849 16861 North America 2037 1255 3292 Europe 2957 775 3732 South America 493 359 852 Africa 397 154 551 Oceania 122 70 192 ------------------------------------------------------------------------------------------------------------------------
<Figure size 640x480 with 0 Axes>
df = data.copy() #Creating copy of data set from original dataset for preprocessing.
Checking for missing value in data set.
missing_values = df.isnull().sum() #Checking for missing values
print(f'There are {missing_values.sum()} missing values') #printing total missing values
There are 0 missing values
There are no missing values to handle.
No feature engineering needed.
numerical_col = df.select_dtypes(include=np.number).columns.tolist() #Assigning numerical columns to a variable
plt.figure(figsize=(20, 30))
#Creating for loop to visualize columns with outliers from numerical columns
for i, variable in enumerate(numerical_col):
plt.subplot(5, 4, i + 1)
plt.boxplot(df[variable], whis=1.5)
plt.tight_layout()
plt.title(variable)
plt.show()
checking values of number of employees that were initially identified as negative and thus incorrect.
#Identifying rows with negative number of employees in company
negative_values_data = data[data['no_of_employees'] < 0]
negative_values_data
| case_id | continent | education_of_employee | has_job_experience | requires_job_training | no_of_employees | yr_of_estab | region_of_employment | prevailing_wage | unit_of_wage | full_time_position | case_status | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 245 | EZYV246 | Europe | Master's | N | N | -25 | 1980 | Northeast | 39452.99000 | Year | Y | Certified |
| 378 | EZYV379 | Asia | Bachelor's | N | Y | -11 | 2011 | Northeast | 32506.14000 | Year | Y | Denied |
| 832 | EZYV833 | South America | Master's | Y | N | -17 | 2002 | South | 129701.94000 | Year | Y | Certified |
| 2918 | EZYV2919 | Asia | Master's | Y | N | -26 | 2005 | Midwest | 112799.46000 | Year | Y | Certified |
| 6439 | EZYV6440 | Asia | Bachelor's | N | N | -14 | 2013 | South | 103.97000 | Hour | Y | Denied |
| 6634 | EZYV6635 | Asia | Bachelor's | Y | N | -26 | 1923 | West | 5247.32000 | Year | Y | Denied |
| 7224 | EZYV7225 | Europe | Doctorate | N | N | -25 | 1998 | Midwest | 141435.95000 | Year | Y | Certified |
| 7281 | EZYV7282 | Asia | High School | N | N | -14 | 2000 | Midwest | 58488.50000 | Year | Y | Denied |
| 7318 | EZYV7319 | Asia | Bachelor's | Y | Y | -26 | 2006 | South | 115005.61000 | Year | Y | Certified |
| 7761 | EZYV7762 | Asia | Master's | N | N | -11 | 2009 | Midwest | 38457.51000 | Year | Y | Certified |
| 9872 | EZYV9873 | Europe | Master's | Y | N | -26 | 1996 | South | 37397.05000 | Year | Y | Certified |
| 11493 | EZYV11494 | Asia | High School | Y | N | -14 | 1999 | South | 27599.35000 | Year | Y | Denied |
| 13471 | EZYV13472 | North America | Master's | N | N | -17 | 2003 | Northeast | 257.24130 | Hour | Y | Denied |
| 14022 | EZYV14023 | Asia | Bachelor's | N | Y | -11 | 1946 | Northeast | 108403.56000 | Year | Y | Certified |
| 14146 | EZYV14147 | Asia | Bachelor's | N | Y | -26 | 1954 | West | 81982.27000 | Year | Y | Certified |
| 14726 | EZYV14727 | Asia | Master's | N | N | -11 | 2000 | Midwest | 167851.80000 | Year | Y | Certified |
| 15600 | EZYV15601 | Asia | Bachelor's | N | N | -14 | 2014 | South | 24641.61000 | Year | Y | Denied |
| 15859 | EZYV15860 | Asia | High School | N | N | -11 | 1969 | South | 44640.60000 | Year | Y | Denied |
| 16157 | EZYV16158 | Asia | Master's | Y | N | -11 | 1994 | South | 62681.25000 | Year | Y | Certified |
| 16883 | EZYV16884 | North America | Bachelor's | Y | N | -26 | 1968 | Northeast | 168.15580 | Hour | Y | Denied |
| 17006 | EZYV17007 | Asia | Doctorate | Y | N | -11 | 1984 | West | 25753.51000 | Year | Y | Denied |
| 17655 | EZYV17656 | North America | Bachelor's | Y | N | -17 | 2007 | Northeast | 129753.18000 | Year | Y | Denied |
| 17844 | EZYV17845 | Asia | Bachelor's | N | N | -14 | 2012 | West | 29325.85000 | Year | Y | Denied |
| 17983 | EZYV17984 | Asia | Bachelor's | N | N | -26 | 2004 | South | 84359.98000 | Year | Y | Denied |
| 20815 | EZYV20816 | Asia | Bachelor's | N | Y | -17 | 1990 | West | 91897.57000 | Year | Y | Certified |
| 20984 | EZYV20985 | Europe | Doctorate | Y | N | -14 | 1989 | Midwest | 37012.80000 | Year | Y | Certified |
| 21255 | EZYV21256 | North America | High School | N | N | -25 | 1987 | South | 99405.47000 | Year | N | Denied |
| 21760 | EZYV21761 | Asia | Bachelor's | Y | N | -25 | 2000 | West | 100463.58000 | Year | Y | Certified |
| 21944 | EZYV21945 | Africa | Master's | Y | N | -25 | 1977 | Midwest | 79150.51000 | Year | Y | Certified |
| 22084 | EZYV22085 | North America | Bachelor's | Y | N | -14 | 1980 | West | 691.06090 | Hour | Y | Denied |
| 22388 | EZYV22389 | Asia | Master's | Y | N | -14 | 1986 | South | 17893.11000 | Year | Y | Certified |
| 23186 | EZYV23187 | Asia | Master's | N | Y | -11 | 2007 | Midwest | 120195.35000 | Year | Y | Certified |
| 23476 | EZYV23477 | Europe | Master's | Y | N | -11 | 2000 | West | 95072.75000 | Year | Y | Denied |
From the data overview it was observed that in some applications filed, the total number of employees in the applying company had negative values which is actually impossible. These negative values may impact the performance of my models negatively, since they could include biase to the model.The negatve values are actually outlier, Hence this will be the only outlier I will be treating. There are quite a few other numerical features with outliers, but they will not be treated because they are proper values.
# User defined functions to treat outliers by flooring and capping
def treat_outliers_lower(df, col):
"""
Treats outliers in a variable
df: dataframe
col: dataframe column
"""
Q1 = df[col].quantile(0.25) # 25th quantile
Q3 = df[col].quantile(0.75) # 75th quantile
IQR = Q3 - Q1
Lower_Whisker = Q1 - 1.5 * IQR
# Replace the lower whisker with zero if it's negative
Lower_Whisker = max(0, Lower_Whisker)
# all the values smaller than Lower_Whisker will be assigned the value of Lower_Whisker
df[col] = np.clip(df[col], Lower_Whisker, np.inf)
return df
#treating outliers with user defined function.
df = treat_outliers_lower(df, 'no_of_employees')
#Identifying rows with negative number of employees in company
negative_values_df = df[df['no_of_employees'] < 0]
negative_values_df
| case_id | continent | education_of_employee | has_job_experience | requires_job_training | no_of_employees | yr_of_estab | region_of_employment | prevailing_wage | unit_of_wage | full_time_position | case_status |
|---|
There are no more negative values in number of employees
# Converting Boolean variables to binary coding
df['case_status'] = df['case_status'].replace({'Certified': 1, 'Denied': 0})
df['full_time_position'] = df['full_time_position'].replace({'Y': 1, 'N': 0})
df['requires_job_training'] = df['requires_job_training'].replace({'Y': 1, 'N': 0})
df['has_job_experience'] = df['has_job_experience'].replace({'Y': 1, 'N': 0})
# Ordinal encoding features with natural order
df['education_of_employee'] = df['education_of_employee'].replace({'High School': 1, "Bachelor's": 2, "Master's": 3,'Doctorate': 4})
df = X = df.drop(['case_id'],axis=1)
# One-hot encoding non-ordinal features
def create_dummies(df, specific_cols):
"""
Creates dummy variables for specific columns in a pandas DataFrame.
Args:
data: The pandas DataFrame.
specific_cols (list): A list of column names to convert to dummy variables.
Returns:
pandas.DataFrame: The DataFrame with new dummy variables.
"""
# Create dummy variables for the specified columns
dummies = pd.get_dummies(df[specific_cols], drop_first=False)
# Drop the original columns from the DataFrame
df = df.drop(columns=specific_cols)
# Combine original data without the specified columns with dummy variables
return pd.concat([df, dummies], axis=1)
specific_cols = ['unit_of_wage', 'region_of_employment', 'continent'] # Columns to convert to dummies
df = create_dummies(df, specific_cols) # Saving dummy variables
X = df.drop(['case_status'],axis=1)
y = df['case_status']
X = pd.get_dummies(X,drop_first=False)
# Splitting data into training and test set:
X_train, X_test, y_train, y_test =train_test_split(X, y, test_size=0.3, random_state=1,stratify=y)
print(X_train.shape, X_test.shape)
(17836, 22) (7644, 22)
y.value_counts(1)
case_status 1 0.66790 0 0.33210 Name: proportion, dtype: float64
y_test.value_counts(1)
case_status 1 0.66784 0 0.33216 Name: proportion, dtype: float64
df.head()
| education_of_employee | has_job_experience | requires_job_training | no_of_employees | yr_of_estab | prevailing_wage | full_time_position | case_status | unit_of_wage_Hour | unit_of_wage_Month | unit_of_wage_Week | unit_of_wage_Year | region_of_employment_Island | region_of_employment_Midwest | region_of_employment_Northeast | region_of_employment_South | region_of_employment_West | continent_Africa | continent_Asia | continent_Europe | continent_North America | continent_Oceania | continent_South America | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 0 | 0 | 14513 | 2007 | 592.20290 | 1 | 0 | True | False | False | False | False | False | False | False | True | False | True | False | False | False | False |
| 1 | 3 | 1 | 0 | 2412 | 2002 | 83425.65000 | 1 | 1 | False | False | False | True | False | False | True | False | False | False | True | False | False | False | False |
| 2 | 2 | 0 | 1 | 44444 | 2008 | 122996.86000 | 1 | 0 | False | False | False | True | False | False | False | False | True | False | True | False | False | False | False |
| 3 | 2 | 0 | 0 | 98 | 1897 | 83434.03000 | 1 | 0 | False | False | False | True | False | False | False | False | True | False | True | False | False | False | False |
| 4 | 3 | 1 | 0 | 1082 | 2005 | 149907.39000 | 1 | 1 | False | False | False | True | False | False | False | True | False | True | False | False | False | False | False |
df.info()
<class 'pandas.core.frame.DataFrame'> RangeIndex: 25480 entries, 0 to 25479 Data columns (total 23 columns): # Column Non-Null Count Dtype --- ------ -------------- ----- 0 education_of_employee 25480 non-null int64 1 has_job_experience 25480 non-null int64 2 requires_job_training 25480 non-null int64 3 no_of_employees 25480 non-null int64 4 yr_of_estab 25480 non-null int64 5 prevailing_wage 25480 non-null float64 6 full_time_position 25480 non-null int64 7 case_status 25480 non-null int64 8 unit_of_wage_Hour 25480 non-null bool 9 unit_of_wage_Month 25480 non-null bool 10 unit_of_wage_Week 25480 non-null bool 11 unit_of_wage_Year 25480 non-null bool 12 region_of_employment_Island 25480 non-null bool 13 region_of_employment_Midwest 25480 non-null bool 14 region_of_employment_Northeast 25480 non-null bool 15 region_of_employment_South 25480 non-null bool 16 region_of_employment_West 25480 non-null bool 17 continent_Africa 25480 non-null bool 18 continent_Asia 25480 non-null bool 19 continent_Europe 25480 non-null bool 20 continent_North America 25480 non-null bool 21 continent_Oceania 25480 non-null bool 22 continent_South America 25480 non-null bool dtypes: bool(15), float64(1), int64(7) memory usage: 1.9 MB
# defining a function to compute different metrics to check performance of a classification model built using sklearn
def model_performance_classification_sklearn(model, predictors, target):
"""
Function to compute different metrics to check classification model performance
model: classifier
predictors: independent variables
target: dependent variable
"""
# predicting using the independent variables
pred = model.predict(predictors)
acc = accuracy_score(target, pred) # to compute Accuracy
recall = recall_score(target, pred) # to compute Recall
precision = precision_score(target, pred) # to compute Precision
f1 = f1_score(target, pred) # to compute F1-score
# creating a dataframe of metrics
df_perf = pd.DataFrame(
{
"Accuracy": acc,
"Recall": recall,
"Precision": precision,
"F1": f1,
},
index=[0],
)
return df_perf
def confusion_matrix_sklearn(model, predictors, target):
"""
To plot the confusion_matrix with percentages
model: classifier
predictors: independent variables
target: dependent variable
"""
y_pred = model.predict(predictors)
cm = confusion_matrix(target, y_pred)
labels = np.asarray(
[
["{0:0.0f}".format(item) + "\n{0:.2%}".format(item / cm.flatten().sum())]
for item in cm.flatten()
]
).reshape(2, 2)
plt.figure(figsize=(6, 4))
sns.heatmap(cm, annot=labels, fmt="")
plt.ylabel("True label")
plt.xlabel("Predicted label")
#Defining custom variable t plot combine histogram and box plot
def histogram_boxplot1(df, feature, figsize=(15, 10), kde=False, bins=None):
"""
Boxplot and histogram combined
data: dataframe
feature: dataframe column
figsize: size of figure (default (15,10))
kde: whether to show the density curve (default False)
bins: number of bins for histogram (default None)
"""
f2, (ax_box2, ax_hist2) = plt.subplots(
nrows=2, # Number of rows of the subplot grid= 2
sharex=True, # x-axis will be shared among all subplots
gridspec_kw={"height_ratios": (0.25, 0.75)},
figsize=figsize,
) # creating the 2 subplots
sns.boxplot(
data=df, x=feature, ax=ax_box2, showmeans=True, color="violet"
) # boxplot will be created and a triangle will indicate the mean value of the column
sns.histplot(
data=df, x=feature, kde=kde, ax=ax_hist2, bins=bins
) if bins else sns.histplot(
data=df, x=feature, kde=kde, ax=ax_hist2
) # For histogram
ax_hist2.axvline(
df[feature].mean(), color="green", linestyle="--"
) # Add mean to the histogram
ax_hist2.axvline(
df[feature].median(), color="black", linestyle="-"
) # Add median to the histogram
# function to create labeled barplots
def labeled_barplot1(data, feature, perc=True, n=None):
"""
Barplot with percentage at the top
data: dataframe
feature: dataframe column
perc: whether to display percentages instead of count (default is False)
n: displays the top n category levels (default is None, i.e., display all levels)
"""
total = len(df[feature]) # length of the column
count = df[feature].nunique()
if n is None:
plt.figure(figsize=(count + 2, 6))
else:
plt.figure(figsize=(n + 2, 6))
plt.xticks(rotation=90, fontsize=15)
ax = sns.countplot(
data=df,
x=feature,
palette="Paired",
order=df[feature].value_counts().index[:n],
)
for p in ax.patches:
if perc == True:
label = "{:.1f}%".format(
100 * p.get_height() / total
) # percentage of each class of the category
else:
label = p.get_height() # count of each level of the category
x = p.get_x() + p.get_width() / 2 # width of the plot
y = p.get_height() # height of the plot
ax.annotate(
label,
(x, y),
ha="center",
va="center",
size=12,
xytext=(0, 5),
textcoords="offset points",
) # annotate the percentage
plt.show() # show the plot
#Defining function to plot stacked barplot
def stacked_barplot1(data, predictor, target, legend_labels=None, xlabel=None):
"""
Print the category counts and plot a stacked bar chart
data: dataframe
predictor: independent variable
target: target variable
legend_labels: list of legend labels (optional)
xlabel: label for the x-axis (optional)
"""
count = data[predictor].nunique()
sorter = data[target].value_counts().index[-1]
tab1 = pd.crosstab(data[predictor], data[target], margins=True).sort_values(
by=sorter, ascending=False
)
print(tab1)
print("-" * 120)
tab = pd.crosstab(data[predictor], data[target], normalize="index").sort_values(
by=sorter, ascending=False
)
ax = tab.plot(kind="bar", stacked=True, figsize=(count + 5, 5))
# Customize legend if legend_labels provided
if legend_labels:
plt.legend(legend_labels, loc="upper left", bbox_to_anchor=(1, 1))
# Set X label if xlabel provided
if xlabel:
plt.xlabel(xlabel)
plt.show()
# function to plot distributions wrt target
def distribution_plot_wrt_target1(data, predictor, target):
fig, axs = plt.subplots(2, 2, figsize=(12, 10))
target_uniq = df[target].unique()
axs[0, 0].set_title("Distribution of target for target=" + str(target_uniq[0]))
sns.histplot(
data=data1[df[target] == target_uniq[0]],
x=predictor,
kde=True,
ax=axs[0, 0],
color="teal",
stat="density",
)
axs[0, 1].set_title("Distribution of target for target=" + str(target_uniq[1]))
sns.histplot(
data=df[df[target] == target_uniq[1]],
x=predictor,
kde=True,
ax=axs[0, 1],
color="orange",
stat="density",
)
axs[1, 0].set_title("Boxplot w.r.t target")
sns.boxplot(data=df, x=target, y=predictor, ax=axs[1, 0], palette="gist_rainbow")
axs[1, 1].set_title("Boxplot (without outliers) w.r.t target")
sns.boxplot(
data=df,
x=target,
y=predictor,
ax=axs[1, 1],
showfliers=False,
palette="gist_rainbow",
)
plt.tight_lay
# Assign variable to plot univariate chart
continuous_cols = df.select_dtypes(include=['int', 'float', 'bool']) # Select integer, float, and boolean datatypes
# Loop through continuous columns
for col in continuous_cols.columns:
plt.figure() # Create a new figure for each plot
histogram_boxplot1(df, col) # Pass the column name (feature)
# Set the plot title using the column name
plt.title(col)
plt.show()
# Select integer, float, and boolean datatypes
# Loop through continuous columns
for col in continuous_cols.columns:
plt.figure() # Create a new figure for each plot
histogram_boxplot1(df, col) # Pass the column name (feature)
# Set the plot title using the column name
plt.title(col)
plt.show()
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# Check for categorical data types
categorical_cols = df.select_dtypes(include=['category']) # Select category columns (categorical data)
# Check if there are any categorical columns
if not categorical_cols.empty:
# Loop through categorical columns
for col in categorical_cols.columns:
plt.figure() # Create a new figure for each plot
labeled_barplot1(df, col) # Plot bar chart of categorical variables
plt.show()
else:
print("No columns with categorical data found.")
No columns with categorical data found.
df1 = df.copy()
df1.head()
| education_of_employee | has_job_experience | requires_job_training | no_of_employees | yr_of_estab | prevailing_wage | full_time_position | case_status | unit_of_wage_Hour | unit_of_wage_Month | unit_of_wage_Week | unit_of_wage_Year | region_of_employment_Island | region_of_employment_Midwest | region_of_employment_Northeast | region_of_employment_South | region_of_employment_West | continent_Africa | continent_Asia | continent_Europe | continent_North America | continent_Oceania | continent_South America | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 0 | 0 | 14513 | 2007 | 592.20290 | 1 | 0 | True | False | False | False | False | False | False | False | True | False | True | False | False | False | False |
| 1 | 3 | 1 | 0 | 2412 | 2002 | 83425.65000 | 1 | 1 | False | False | False | True | False | False | True | False | False | False | True | False | False | False | False |
| 2 | 2 | 0 | 1 | 44444 | 2008 | 122996.86000 | 1 | 0 | False | False | False | True | False | False | False | False | True | False | True | False | False | False | False |
| 3 | 2 | 0 | 0 | 98 | 1897 | 83434.03000 | 1 | 0 | False | False | False | True | False | False | False | False | True | False | True | False | False | False | False |
| 4 | 3 | 1 | 0 | 1082 | 2005 | 149907.39000 | 1 | 1 | False | False | False | True | False | False | False | True | False | True | False | False | False | False | False |
# Select numerical columns (integer and float) from the DataFrame
continuous_cols = df1.select_dtypes(include=['int', 'float'])
# Convert boolean columns to numerical values (0 or 1)
boolean_cols = df1.select_dtypes(include=['bool'])
for col in boolean_cols.columns:
df1[col] = df1[col].astype(int)
# Plot correlation heatmap
plt.figure(figsize=(12, 7))
sns.heatmap(
df1.corr(), annot=True, vmin=-1, vmax=1, fmt=".2f", cmap="Spectral")
plt.show()
plt.figure()
stacked_barplot1(df1, 'education_of_employee', 'case_status', legend_labels=['Denied', 'Certified'], xlabel='Education Level')
plt.show()
case_status 0 1 All education_of_employee All 8462 17018 25480 2 3867 6367 10234 1 2256 1164 3420 3 2059 7575 9634 4 280 1912 2192 ------------------------------------------------------------------------------------------------------------------------
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plt.figure()
sns.boxplot(data = df,x = 'case_status' , y = 'no_of_employees')
plt.title('Boxplot of Number of Employees by Case Status')
plt.tight_layout()
plt.show();
sns.boxplot(data=df,x= 'case_status' ,y= 'no_of_employees',showfliers=False, palette="gist_rainbow")
plt.title('Boxplot of Number of Employees by Case Status (Excluding Outliers)')
plt.tight_layout()
plt.show();
plt.figure()
stacked_barplot1(df,'has_job_experience','case_status' )
plt.show();
case_status 0 1 All has_job_experience All 8462 17018 25480 0 4684 5994 10678 1 3778 11024 14802 ------------------------------------------------------------------------------------------------------------------------
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Since the classes are unbalanced, I will be setting class weights to account for this.
dtree = DecisionTreeClassifier(criterion='gini',class_weight={0:0.40,1:0.60},random_state=1) #assigning the base classifier to the variable created for this model
dtree.fit(X_train, y_train) #training the decision tree model
DecisionTreeClassifier(class_weight={0: 0.4, 1: 0.6}, random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. DecisionTreeClassifier(class_weight={0: 0.4, 1: 0.6}, random_state=1)confusion_matrix_sklearn(dtree, X_train, y_train)
dtree_model_train_perf=model_performance_classification_sklearn(dtree, X_train, y_train)#evaluating performance on tain data
print("Training performance \n",dtree_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 1.00000 1.00000 1.00000 1.00000
confusion_matrix_sklearn(dtree, X_test, y_test)
dtree_model_test_perf=model_performance_classification_sklearn(dtree, X_test, y_test)#evaluating performance on test data
print("Testing performance \n",dtree_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.66130 0.74535 0.74696 0.74615
bagging = BaggingClassifier(random_state=1) #assigning baggingclassifier
bagging.fit(X_train,y_train)#training model
BaggingClassifier(random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
BaggingClassifier(random_state=1)
confusion_matrix_sklearn(bagging, X_train, y_train)
bagging_model_train_perf=model_performance_classification_sklearn(bagging, X_train, y_train)#evaluating performance on train data
print("Training performance \n",bagging_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.98312 0.98372 0.99095 0.98732
confusion_matrix_sklearn(bagging, X_test, y_test)
bagging_model_test_perf=model_performance_classification_sklearn(bagging, X_test, y_test)#evaluating performance on test data
print("Testing performance \n",bagging_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.69780 0.77160 0.77494 0.77326
BAGGING CLASSIFIER WITH WEIGHTED DECISION TREE
bagging_wt = BaggingClassifier(base_estimator=DecisionTreeClassifier(criterion='gini',class_weight={0:0.40,1:0.60},random_state=1),random_state=1)
bagging_wt.fit(X_train,y_train)
BaggingClassifier(base_estimator=DecisionTreeClassifier(class_weight={0: 0.4,
1: 0.6},
random_state=1),
random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. BaggingClassifier(base_estimator=DecisionTreeClassifier(class_weight={0: 0.4,
1: 0.6},
random_state=1),
random_state=1)DecisionTreeClassifier(class_weight={0: 0.4, 1: 0.6}, random_state=1)DecisionTreeClassifier(class_weight={0: 0.4, 1: 0.6}, random_state=1)confusion_matrix_sklearn(bagging_wt,X_train,y_train)
bagging_wt_model_train_perf=model_performance_classification_sklearn(bagging_wt,X_train,y_train)
print("Training performance \n",bagging_wt_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.98458 0.98539 0.99147 0.98842
confusion_matrix_sklearn(bagging_wt,X_test,y_test)
bagging_wt_model_test_perf=model_performance_classification_sklearn(bagging_wt, X_test, y_test)
print("Testing performance \n",bagging_wt_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.69008 0.76631 0.76887 0.76759
rf = RandomForestClassifier(oob_score=True,random_state=1) #Assigning randomforest classifier
rf.fit(X_train,y_train) #training model
RandomForestClassifier(oob_score=True, random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
RandomForestClassifier(oob_score=True, random_state=1)
confusion_matrix_sklearn(rf,X_train,y_train)
rf_model_train_perf=model_performance_classification_sklearn(rf,X_train,y_train)#evaluating performance on train data
print("Training performance \n",rf_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 1.00000 1.00000 1.00000 1.00000
# Access the OOB predictions
oob_predictions = rf.predict(X_train)
# Compute f1-score using OOB predictions and true labels
oob_f1_score = f1_score(y_train, oob_predictions)
print("OOB F1 Score:", oob_f1_score)
OOB F1 Score: 1.0
confusion_matrix_sklearn(rf,X_test,y_test)
rf_model_test_perf=model_performance_classification_sklearn(rf,X_test,y_test)#evaluating performance on test data
print("Testing performance \n",rf_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.72305 0.83565 0.76948 0.80120
RANDOM FOREST WITH CLASS WEIGHTS
rf_wt = RandomForestClassifier(oob_score=True,class_weight={0:0.40,1:0.60}, random_state=1)
rf_wt.fit(X_train,y_train)
RandomForestClassifier(class_weight={0: 0.4, 1: 0.6}, oob_score=True,
random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. RandomForestClassifier(class_weight={0: 0.4, 1: 0.6}, oob_score=True,
random_state=1)confusion_matrix_sklearn(rf_wt, X_train,y_train)
rf_wt_model_train_perf=model_performance_classification_sklearn(rf_wt, X_train,y_train)
print("Training performance \n",rf_wt_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 1.00000 1.00000 1.00000 1.00000
confusion_matrix_sklearn(rf_wt, X_test,y_test)
rf_wt_model_test_perf=model_performance_classification_sklearn(rf_wt, X_test,y_test)
print("Testing performance \n",rf_wt_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.72083 0.82997 0.76994 0.79883
gb=GradientBoostingClassifier(random_state=1)
gb.fit(X_train,y_train)
GradientBoostingClassifier(random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
GradientBoostingClassifier(random_state=1)
confusion_matrix_sklearn(gb, X_train,y_train)
gb_model_train_perf = model_performance_classification_sklearn(gb, X_train,y_train)
print("Training performance \n",gb_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.75791 0.88332 0.78232 0.82976
confusion_matrix_sklearn(gb, X_test,y_test)
gb_model_test_perf = model_performance_classification_sklearn(gb, X_test, y_test)
print("Testing performance \n",gb_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.74555 0.87640 0.77298 0.82144
ab_classifier=AdaBoostClassifier(random_state=1)
ab_classifier.fit(X_train,y_train)
AdaBoostClassifier(random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
AdaBoostClassifier(random_state=1)
confusion_matrix_sklearn(ab_classifier, X_train,y_train)
ab_classifier_model_train_perf = model_performance_classification_sklearn(ab_classifier, X_train,y_train)
print("Training performance \n",ab_classifier_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.73710 0.88945 0.75859 0.81882
confusion_matrix_sklearn(ab_classifier, X_test,y_test)
ab_classifier_model_test_perf = model_performance_classification_sklearn(ab_classifier, X_test,y_test)
print("Testing performance \n",ab_classifier_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.73299 0.88521 0.75644 0.81578
xgb_classifier=XGBClassifier(random_state=1, verbosity = 0)
xgb_classifier.fit(X_train,y_train)
XGBClassifier(base_score=None, booster=None, callbacks=None,
colsample_bylevel=None, colsample_bynode=None,
colsample_bytree=None, device=None, early_stopping_rounds=None,
enable_categorical=False, eval_metric=None, feature_types=None,
gamma=None, grow_policy=None, importance_type=None,
interaction_constraints=None, learning_rate=None, max_bin=None,
max_cat_threshold=None, max_cat_to_onehot=None,
max_delta_step=None, max_depth=None, max_leaves=None,
min_child_weight=None, missing=nan, monotone_constraints=None,
multi_strategy=None, n_estimators=None, n_jobs=None,
num_parallel_tree=None, random_state=1, ...)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. XGBClassifier(base_score=None, booster=None, callbacks=None,
colsample_bylevel=None, colsample_bynode=None,
colsample_bytree=None, device=None, early_stopping_rounds=None,
enable_categorical=False, eval_metric=None, feature_types=None,
gamma=None, grow_policy=None, importance_type=None,
interaction_constraints=None, learning_rate=None, max_bin=None,
max_cat_threshold=None, max_cat_to_onehot=None,
max_delta_step=None, max_depth=None, max_leaves=None,
min_child_weight=None, missing=nan, monotone_constraints=None,
multi_strategy=None, n_estimators=None, n_jobs=None,
num_parallel_tree=None, random_state=1, ...)confusion_matrix_sklearn(xgb_classifier, X_train,y_train)
xgb_classifer_model_train_perf = model_performance_classification_sklearn(xgb_classifier, X_train, y_train)
print("Training performance \n",xgb_classifer_model_train_perf )
Training performance
Accuracy Recall Precision F1
0 0.84587 0.93184 0.85143 0.88982
confusion_matrix_sklearn(xgb_classifier, X_test,y_test)
xgb_classifer_model_test_perf = model_performance_classification_sklearn(xgb_classifier, X_test, y_test)
print("Test performance \n",xgb_classifer_model_test_perf )
Test performance
Accuracy Recall Precision F1
0 0.72828 0.85524 0.76543 0.80785
Note
param_grid = {
"init": [AdaBoostClassifier(random_state=1),DecisionTreeClassifier(random_state=1)],
"n_estimators": np.arange(50,110,25),
"learning_rate": [0.01,0.1,0.05],
"subsample":[0.7,0.9],
"max_features":[0.5,0.7,1],
}
param_grid = {
"n_estimators": np.arange(50,110,25),
"learning_rate": [0.01,0.1,0.05],
"base_estimator": [
DecisionTreeClassifier(max_depth=2, random_state=1),
DecisionTreeClassifier(max_depth=3, random_state=1),
],
}
param_grid = {
'max_samples': [0.8,0.9,1],
'max_features': [0.7,0.8,0.9],
'n_estimators' : [30,50,70],
}
param_grid = {
"n_estimators": [50,110,25],
"min_samples_leaf": np.arange(1, 4),
"max_features": [np.arange(0.3, 0.6, 0.1),'sqrt'],
"max_samples": np.arange(0.4, 0.7, 0.1)
}
param_grid = {
'max_depth': np.arange(2,6),
'min_samples_leaf': [1, 4, 7],
'max_leaf_nodes' : [10, 15],
'min_impurity_decrease': [0.0001,0.001]
}
param_grid={'n_estimators':np.arange(50,110,25),
'scale_pos_weight':[1,2,5],
'learning_rate':[0.01,0.1,0.05],
'gamma':[1,3],
'subsample':[0.7,0.9]
}
So far, the basic Adaboost and GBM models with default parameter performed the best and normally fitted. Normally, this might imply there is no further need for tuning these two models. But, I will be tuning them purely for acedemic purposes.
The models will have to models,eventhough, perform well. Needs to be tuned to improve their ability to generalize on unseen data.
# Choose the type of classifier.
gb_tuned = GradientBoostingClassifier(random_state=1)
# Grid of parameters to choose from
param_grid = {
"n_estimators": np.arange(50, 200, 25),
"learning_rate": [0.01, 0.05,0.1, 0.8],
"subsample": [0.7, 0.9],
"max_depth": [2,3],
}
# Type of scoring used to compare parameter combinations
scorer = metrics.make_scorer(metrics.f1_score)
# Run the grid search
grid_obj = GridSearchCV(gb_tuned, param_grid, scoring=scorer,cv=5)
grid_obj = grid_obj.fit(X_train, y_train)
# Set the clf to the best combination of parameters
gb_tuned = grid_obj.best_estimator_
# Fit the best algorithm to the data.
gb_tuned.fit(X_train, y_train)
GradientBoostingClassifier(learning_rate=0.05, n_estimators=75, random_state=1,
subsample=0.7)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. GradientBoostingClassifier(learning_rate=0.05, n_estimators=75, random_state=1,
subsample=0.7)confusion_matrix_sklearn(gb_tuned, X_train,y_train)
gb_model_tuned_train_perf = model_performance_classification_sklearn(gb_tuned, X_train,y_train)
print("Training performance \n",gb_model_tuned_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.74983 0.89801 0.76716 0.82744
confusion_matrix_sklearn(gb_tuned, X_test,y_test)
gb_model_tuned_test_perf = model_performance_classification_sklearn(gb_tuned, X_test, y_test)
print("Testing performance \n",gb_model_tuned_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.74241 0.89618 0.76072 0.82292
# importance of features in the tree building ( The importance of a feature is computed as the
#(normalized) total reduction of the criterion brought by that feature. It is also known as the Gini importance )
print(pd.DataFrame(gb_tuned.feature_importances_, columns = ["Imp"], index = X_train.columns).sort_values(by = 'Imp', ascending = False))
Imp education_of_employee 0.50100 has_job_experience 0.16214 prevailing_wage 0.06961 unit_of_wage_Hour 0.06483 continent_Europe 0.05783 region_of_employment_Midwest 0.03336 unit_of_wage_Year 0.02089 region_of_employment_South 0.02024 continent_North America 0.01625 region_of_employment_West 0.01380 continent_Asia 0.01150 region_of_employment_Northeast 0.00743 yr_of_estab 0.00649 no_of_employees 0.00514 full_time_position 0.00390 continent_South America 0.00361 requires_job_training 0.00113 continent_Africa 0.00046 region_of_employment_Island 0.00021 unit_of_wage_Month 0.00011 unit_of_wage_Week 0.00007 continent_Oceania 0.00000
feature_names7 = X_train.columns
importances = gb_tuned.feature_importances_
indices = np.argsort(importances)
plt.figure(figsize=(12,12))
plt.title('Feature Importances')
plt.barh(range(len(indices)), importances[indices], color='violet', align='center')
plt.yticks(range(len(indices)), [feature_names7[i] for i in indices])
plt.xlabel('Relative Importance')
plt.show()
# Create a one-step decision tree (decision stump)
decision_stump = DecisionTreeClassifier(max_depth=1, random_state=1)
# Choose the type of classifier.
ab_tuned = AdaBoostClassifier(base_estimator=decision_stump, random_state=1)
# Grid of parameters to choose from
parameters = {
"n_estimators": np.arange(10, 200, 10),
"learning_rate": [1, 0.1, 0.5, 0.8, 0.01],
"algorithm": ['SAMME', 'SAMME.R'],
}
# Type of scoring used to compare parameter combinations
scorer = metrics.make_scorer(metrics.f1_score)
# Run the grid search
grid_obj = GridSearchCV(ab_tuned, parameters, scoring=scorer, cv=5)
grid_obj = grid_obj.fit(X_train, y_train)
# Set the clf to the best combination of parameters
ab_tuned = grid_obj.best_estimator_
# Fit the best algorithm to the data.
ab_tuned.fit(X_train, y_train)
AdaBoostClassifier(algorithm='SAMME',
base_estimator=DecisionTreeClassifier(max_depth=1,
random_state=1),
learning_rate=0.8, n_estimators=20, random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. AdaBoostClassifier(algorithm='SAMME',
base_estimator=DecisionTreeClassifier(max_depth=1,
random_state=1),
learning_rate=0.8, n_estimators=20, random_state=1)DecisionTreeClassifier(max_depth=1, random_state=1)
DecisionTreeClassifier(max_depth=1, random_state=1)
confusion_matrix_sklearn(ab_tuned, X_train,y_train)
ab_model_tuned_train_perf = model_performance_classification_sklearn(ab_tuned, X_train,y_train)
print("Training performance \n",ab_model_tuned_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.73688 0.89499 0.75596 0.81962
confusion_matrix_sklearn(ab_tuned, X_test,y_test)
ab_model_tuned_test_perf = model_performance_classification_sklearn(ab_tuned, X_test, y_test)
print("Testing performance \n",ab_model_tuned_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.73155 0.89246 0.75194 0.81619
# importance of features in the tree building ( The importance of a feature is computed as the
#(normalized) total reduction of the criterion brought by that feature. It is also known as the Gini importance )
print(pd.DataFrame(ab_tuned.feature_importances_, columns = ["Imp"], index = X_train.columns).sort_values(by = 'Imp', ascending = False))
Imp education_of_employee 0.43232 has_job_experience 0.12292 continent_Europe 0.11288 unit_of_wage_Hour 0.10701 region_of_employment_Midwest 0.09952 unit_of_wage_Year 0.05881 region_of_employment_West 0.03569 region_of_employment_South 0.03086 region_of_employment_Northeast 0.00000 continent_Oceania 0.00000 continent_North America 0.00000 continent_Asia 0.00000 continent_Africa 0.00000 region_of_employment_Island 0.00000 unit_of_wage_Week 0.00000 unit_of_wage_Month 0.00000 full_time_position 0.00000 prevailing_wage 0.00000 yr_of_estab 0.00000 no_of_employees 0.00000 requires_job_training 0.00000 continent_South America 0.00000
feature_names6 = X_train.columns
importances = ab_tuned.feature_importances_
indices = np.argsort(importances)
plt.figure(figsize=(12,12))
plt.title('Feature Importances')
plt.barh(range(len(indices)), importances[indices], color='violet', align='center')
plt.yticks(range(len(indices)), [feature_names6[i] for i in indices])
plt.xlabel('Relative Importance')
plt.show()
# Choose the type of classifier.
xgb_tuned = XGBClassifier(random_state=1, verbosity = 0)
# Grid of parameters to choose from
parameters={'n_estimators':np.arange(50,110,25),
'scale_pos_weight':[1,2,5],
'learning_rate':[0.01,0.1,0.05,0.7],
'gamma':[1,3],
'subsample':[0.7,0.9]
}
# Type of scoring used to compare parameter combinations
scorer = metrics.make_scorer(metrics.f1_score)
# Run the grid search
grid_obj = GridSearchCV(xgb_tuned, parameters, scoring=scorer,cv=5)
grid_obj = grid_obj.fit(X_train, y_train)
# Set the clf to the best combination of parameters
xgb_tuned = grid_obj.best_estimator_
# Fit the best algorithm to the data.
xgb_tuned.fit(X_train, y_train)
XGBClassifier(base_score=None, booster=None, callbacks=None,
colsample_bylevel=None, colsample_bynode=None,
colsample_bytree=None, device=None, early_stopping_rounds=None,
enable_categorical=False, eval_metric=None, feature_types=None,
gamma=3, grow_policy=None, importance_type=None,
interaction_constraints=None, learning_rate=0.05, max_bin=None,
max_cat_threshold=None, max_cat_to_onehot=None,
max_delta_step=None, max_depth=None, max_leaves=None,
min_child_weight=None, missing=nan, monotone_constraints=None,
multi_strategy=None, n_estimators=50, n_jobs=None,
num_parallel_tree=None, random_state=1, ...)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. XGBClassifier(base_score=None, booster=None, callbacks=None,
colsample_bylevel=None, colsample_bynode=None,
colsample_bytree=None, device=None, early_stopping_rounds=None,
enable_categorical=False, eval_metric=None, feature_types=None,
gamma=3, grow_policy=None, importance_type=None,
interaction_constraints=None, learning_rate=0.05, max_bin=None,
max_cat_threshold=None, max_cat_to_onehot=None,
max_delta_step=None, max_depth=None, max_leaves=None,
min_child_weight=None, missing=nan, monotone_constraints=None,
multi_strategy=None, n_estimators=50, n_jobs=None,
num_parallel_tree=None, random_state=1, ...)confusion_matrix_sklearn(xgb_tuned, X_train,y_train)
xgb_tuned_model_train_perf = model_performance_classification_sklearn(xgb_tuned, X_train,y_train)
print("Training performance \n",xgb_tuned_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.76233 0.88903 0.78405 0.83325
confusion_matrix_sklearn(xgb_tuned, X_test,y_test)
xgb_tuned_model_test_perf = model_performance_classification_sklearn(xgb_tuned, X_test, y_test)
print("Testing performance \n",xgb_tuned_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.74451 0.87796 0.77116 0.82110
# importance of features in the tree building ( The importance of a feature is computed as the
#(normalized) total reduction of the criterion brought by that feature. It is also known as the Gini importance )
print(pd.DataFrame(xgb_tuned.feature_importances_, columns = ["Imp"], index = X_train.columns).sort_values(by = 'Imp', ascending = False))
Imp education_of_employee 0.24798 unit_of_wage_Hour 0.22538 has_job_experience 0.13301 continent_Europe 0.04712 unit_of_wage_Year 0.04645 region_of_employment_Midwest 0.03219 region_of_employment_South 0.02763 region_of_employment_Northeast 0.02737 full_time_position 0.02356 region_of_employment_West 0.02272 continent_Asia 0.01999 continent_North America 0.01940 requires_job_training 0.01890 prevailing_wage 0.01885 continent_South America 0.01696 continent_Africa 0.01267 region_of_employment_Island 0.01252 yr_of_estab 0.01173 no_of_employees 0.00985 unit_of_wage_Week 0.00947 continent_Oceania 0.00920 unit_of_wage_Month 0.00705
feature_names = X_train.columns
importances = xgb_tuned.feature_importances_
indices = np.argsort(importances)
plt.figure(figsize=(12,12))
plt.title('Feature Importances')
plt.barh(range(len(indices)), importances[indices], color='violet', align='center')
plt.yticks(range(len(indices)), [feature_names[i] for i in indices])
plt.xlabel('Relative Importance')
plt.show()
# Choose the type of classifier.
rf_classifier_tuned = RandomForestClassifier(oob_score=True,random_state=1)
# Grid of parameters to choose from
parameters = {
"n_estimators": [25,300,25],
"min_samples_leaf": np.arange(1, 4),
"max_features": [np.arange(0.3, 0.9, 0.1),'sqrt'],
"max_samples": np.arange(0.4, 0.7, 0.1)
}
# Type of scoring used to compare parameter combinations
scorer = metrics.make_scorer(metrics.f1_score)
# Run the grid search
grid_obj = GridSearchCV(rf_classifier_tuned, parameters, scoring=scorer,cv=5)
grid_obj = grid_obj.fit(X_train, y_train)
# Set the rf_classifier_tuned to the best combination of parameters
rf_classifier_tuned= grid_obj.best_estimator_
# Fit the best algorithm to the data.
rf_classifier_tuned.fit(X_train, y_train)
RandomForestClassifier(max_samples=0.4, min_samples_leaf=3, n_estimators=300,
oob_score=True, random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. RandomForestClassifier(max_samples=0.4, min_samples_leaf=3, n_estimators=300,
oob_score=True, random_state=1)confusion_matrix_sklearn(rf_classifier_tuned, X_train,y_train)
rf_classifier_tuned_model_train_perf=model_performance_classification_sklearn(rf_classifier_tuned, X_train,y_train)
print("Training performance \n",rf_classifier_tuned_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.79160 0.90859 0.80464 0.85346
# Access the OOB predictions
oob_predictions_rf_tuned = rf_classifier_tuned.predict(X_train)
# Compute f1-score using OOB predictions and true labels
oob_f1_score_rf_tuned = f1_score(y_train, oob_predictions_rf_tuned)
print("OOB F1 Score:", oob_f1_score_rf_tuned)
OOB F1 Score: 0.8534594914251922
confusion_matrix_sklearn(rf_classifier_tuned, X_test,y_test)
rf_classifier_tuned_model_test_perf=model_performance_classification_sklearn(rf_classifier_tuned, X_test, y_test)
print("Testing performance \n",rf_classifier_tuned_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.74385 0.87346 0.77266 0.81997
# importance of features in the tree building ( The importance of a feature is computed as the
#(normalized) total reduction of the criterion brought by that feature. It is also known as the Gini importance )
print(pd.DataFrame(rf_classifier_tuned.feature_importances_, columns = ["Imp"], index = X_train.columns).sort_values(by = 'Imp', ascending = False))
Imp education_of_employee 0.23283 prevailing_wage 0.19023 no_of_employees 0.15857 yr_of_estab 0.13617 has_job_experience 0.07910 unit_of_wage_Hour 0.02860 continent_Europe 0.02565 unit_of_wage_Year 0.02159 region_of_employment_Midwest 0.01592 region_of_employment_West 0.01508 continent_Asia 0.01481 full_time_position 0.01377 region_of_employment_South 0.01353 requires_job_training 0.01349 continent_North America 0.01285 region_of_employment_Northeast 0.01272 continent_South America 0.00618 continent_Africa 0.00274 region_of_employment_Island 0.00262 unit_of_wage_Week 0.00158 continent_Oceania 0.00145 unit_of_wage_Month 0.00053
feature_names1 = X_train.columns
importances = rf_classifier_tuned.feature_importances_
indices = np.argsort(importances)
plt.figure(figsize=(12,12))
plt.title('Feature Importances')
plt.barh(range(len(indices)), importances[indices], color='violet', align='center')
plt.yticks(range(len(indices)), [feature_names1[i] for i in indices])
plt.xlabel('Relative Importance')
plt.show()
# grid search for bagging classifier
bagging_tuned = DecisionTreeClassifier(class_weight={0:0.40,1:0.60},random_state=1)
param_grid = {'base_estimator':[bagging_tuned],
'n_estimators':[5,7,15,51,101],
'max_features': [0.7,0.8,0.9,1]
}
# Define the scoring metric
scorer = metrics.make_scorer(f1_score)
grid = GridSearchCV(BaggingClassifier(random_state=1,bootstrap=True), param_grid=param_grid, scoring = scorer, cv = 5)
grid.fit(X_train, y_train)
## getting the best estimator
bagging_tuned = grid.best_estimator_
bagging_tuned.fit(X_train,y_train)
BaggingClassifier(base_estimator=DecisionTreeClassifier(class_weight={0: 0.4,
1: 0.6},
random_state=1),
max_features=0.7, n_estimators=51, random_state=1)In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. BaggingClassifier(base_estimator=DecisionTreeClassifier(class_weight={0: 0.4,
1: 0.6},
random_state=1),
max_features=0.7, n_estimators=51, random_state=1)DecisionTreeClassifier(class_weight={0: 0.4, 1: 0.6}, random_state=1)DecisionTreeClassifier(class_weight={0: 0.4, 1: 0.6}, random_state=1)confusion_matrix_sklearn(bagging_tuned, X_train,y_train)
bagging_classifier_tuned_model_train_perf=model_performance_classification_sklearn(bagging_tuned, X_train,y_train)
print("Training performance \n",bagging_classifier_tuned_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.99804 0.99983 0.99724 0.99853
# Access the OOB predictions
oob_predictions_bagging_tuned = bagging_tuned.predict(X_train)
# Compute f1-score using OOB predictions and true labels
oob_f1_score_bagging_tuned = f1_score(y_train, oob_predictions_bagging_tuned)
print("OOB F1 Score:", oob_f1_score_bagging_tuned)
OOB F1 Score: 0.9985329253468583
confusion_matrix_sklearn(bagging_tuned, X_test,y_test)
bagging_classifier_tuned_model_test_perf=model_performance_classification_sklearn(bagging_tuned, X_test, y_test)
print("Testing performance \n",bagging_classifier_tuned_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.72684 0.88737 0.74963 0.81270
# Access feature importances of the base estimator
if hasattr(bagging_tuned.base_estimator, 'feature_importances_'):
feature_importances = bagging_tuned.base_estimator.feature_importances_
print("Feature Importances:", feature_importances)
else:
print("Base estimator does not have feature importances attribute.")
Base estimator does not have feature importances attribute.
# Define the DecisionTreeClassifier with initial hyperparameters
dtree_pre_prune = DecisionTreeClassifier(criterion='gini', random_state=1)
# Define the parameter grid for hyperparameter tuning
param_grid = { 'max_depth': np.arange(2,6),
'min_samples_leaf': [1, 4, 7],
'max_leaf_nodes' : [10, 15],
'min_impurity_decrease': [0.0001,0.001]
}
# Perform Grid Search with Cross-Validation
grid = GridSearchCV(dtree_pre_prune , param_grid=param_grid, scoring='f1', cv=5)
grid.fit(X_train, y_train)
# Get the best DecisionTreeClassifier estimator
best_dtree_pre_prune_estimator = grid.best_estimator_
# Print the best parameters found by GridSearchCV
print("Best Parameters:", grid.best_params_)
# Fit the best estimator to the training data
dtree_pre_prune = grid.best_estimator_
Best Parameters: {'max_depth': 4, 'max_leaf_nodes': 15, 'min_impurity_decrease': 0.0001, 'min_samples_leaf': 7}
confusion_matrix_sklearn(dtree_pre_prune, X_train,y_train)
dtree_pre_prune_model_train_perf=model_performance_classification_sklearn(dtree_pre_prune, X_train,y_train)
print("Training performance \n",dtree_pre_prune_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.73817 0.91715 0.74790 0.82392
confusion_matrix_sklearn(dtree_pre_prune, X_test,y_test)
dtree_pre_prune_model_test_perf=model_performance_classification_sklearn(dtree_pre_prune, X_test,y_test)
print("Testing performance \n",dtree_pre_prune_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.72985 0.91557 0.74096 0.81907
# importance of features in the tree building ( The importance of a feature is computed as the
#(normalized) total reduction of the criterion brought by that feature. It is also known as the Gini importance )
print(pd.DataFrame(dtree_pre_prune.feature_importances_, columns = ["Imp"], index = X_train.columns).sort_values(by = 'Imp', ascending = False))
Imp education_of_employee 0.52238 has_job_experience 0.22124 prevailing_wage 0.10987 continent_Europe 0.07028 unit_of_wage_Hour 0.04934 continent_Asia 0.01522 region_of_employment_West 0.00700 region_of_employment_Northeast 0.00467 continent_Oceania 0.00000 continent_North America 0.00000 continent_Africa 0.00000 region_of_employment_South 0.00000 region_of_employment_Island 0.00000 region_of_employment_Midwest 0.00000 unit_of_wage_Year 0.00000 unit_of_wage_Week 0.00000 unit_of_wage_Month 0.00000 full_time_position 0.00000 yr_of_estab 0.00000 no_of_employees 0.00000 requires_job_training 0.00000 continent_South America 0.00000
feature_names5= X_train.columns
importances = dtree_pre_prune.feature_importances_
indices = np.argsort(importances)
plt.figure(figsize=(12,12))
plt.title('Feature Importances')
plt.barh(range(len(indices)), importances[indices], color='violet', align='center')
plt.yticks(range(len(indices)), [feature_names5[i] for i in indices])
plt.xlabel('Relative Importance')
plt.show()
# Define the DecisionTreeClassifier with initial hyperparameters
dtree_post_prune = DecisionTreeClassifier(criterion='gini', class_weight={0: 0.40, 1: 0.60}, random_state=1)
# Define the parameter grid for hyperparameter tuning
param_grid = {
'ccp_alpha': [0.0, 0.01, 0.1, 0.5, 1.0] # Varying values of ccp_alpha for post-pruning
}
# Perform Grid Search with Cross-Validation
grid = GridSearchCV(dtree_post_prune , param_grid=param_grid, scoring='f1', cv=5)
grid.fit(X_train, y_train)
# Get the best DecisionTreeClassifier estimator
best_dtree_post_prune_estimator = grid.best_estimator_
# Print the best parameters found by GridSearchCV
print("Best Parameters:", grid.best_params_)
# Fit the best estimator to the training data
dtree_post_prune = grid.best_estimator_
Best Parameters: {'ccp_alpha': 0.01}
confusion_matrix_sklearn(dtree_post_prune, X_train,y_train)
dtree_post_prune_model_train_perf=model_performance_classification_sklearn(dtree_post_prune, X_train,y_train)
print("Training performance \n",dtree_post_prune_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.73032 0.89323 0.75048 0.81565
confusion_matrix_sklearn(dtree_post_prune, X_test,y_test)
dtree_post_prune_model_test_perf=model_performance_classification_sklearn(dtree_post_prune, X_test, y_test)
print("Testing performance \n",dtree_post_prune_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.72580 0.89403 0.74587 0.81326
# importance of features in the tree building ( The importance of a feature is computed as the
#(normalized) total reduction of the criterion brought by that feature. It is also known as the Gini importance )
print(pd.DataFrame(dtree_post_prune.feature_importances_, columns = ["Imp"], index = X_train.columns).sort_values(by = 'Imp', ascending = False))
Imp education_of_employee 0.66499 unit_of_wage_Hour 0.33501 region_of_employment_Midwest 0.00000 continent_Oceania 0.00000 continent_North America 0.00000 continent_Europe 0.00000 continent_Asia 0.00000 continent_Africa 0.00000 region_of_employment_West 0.00000 region_of_employment_South 0.00000 region_of_employment_Northeast 0.00000 region_of_employment_Island 0.00000 has_job_experience 0.00000 unit_of_wage_Year 0.00000 unit_of_wage_Week 0.00000 unit_of_wage_Month 0.00000 full_time_position 0.00000 prevailing_wage 0.00000 yr_of_estab 0.00000 no_of_employees 0.00000 requires_job_training 0.00000 continent_South America 0.00000
feature_names4= X_train.columns
importances = dtree_post_prune.feature_importances_
indices = np.argsort(importances)
plt.figure(figsize=(12,12))
plt.title('Feature Importances')
plt.barh(range(len(indices)), importances[indices], color='violet', align='center')
plt.yticks(range(len(indices)), [feature_names4[i] for i in indices])
plt.xlabel('Relative Importance')
plt.show()
estimators=[('Decision Tree pre pruned', dtree_pre_prune),('Ada boosting', ab_tuned),
('Gradient boosting', gb_tuned )]
final_estimator=XGBClassifier(random_state=1)
stacking_estimator=StackingClassifier(estimators=estimators, final_estimator=final_estimator,cv=5)
stacking_estimator.fit(X_train,y_train)
StackingClassifier(cv=5,
estimators=[('Decision Tree pre pruned',
DecisionTreeClassifier(max_depth=4,
max_leaf_nodes=15,
min_impurity_decrease=0.0001,
min_samples_leaf=7,
random_state=1)),
('Ada boosting',
AdaBoostClassifier(algorithm='SAMME',
base_estimator=DecisionTreeClassifier(max_depth=1,
random_state=1),
learning_rate=0.8,
n_estimators=20,
random_state=1)),
('...
feature_types=None, gamma=None,
grow_policy=None,
importance_type=None,
interaction_constraints=None,
learning_rate=None,
max_bin=None,
max_cat_threshold=None,
max_cat_to_onehot=None,
max_delta_step=None,
max_depth=None,
max_leaves=None,
min_child_weight=None,
missing=nan,
monotone_constraints=None,
multi_strategy=None,
n_estimators=None, n_jobs=None,
num_parallel_tree=None,
random_state=1, ...))In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. StackingClassifier(cv=5,
estimators=[('Decision Tree pre pruned',
DecisionTreeClassifier(max_depth=4,
max_leaf_nodes=15,
min_impurity_decrease=0.0001,
min_samples_leaf=7,
random_state=1)),
('Ada boosting',
AdaBoostClassifier(algorithm='SAMME',
base_estimator=DecisionTreeClassifier(max_depth=1,
random_state=1),
learning_rate=0.8,
n_estimators=20,
random_state=1)),
('...
feature_types=None, gamma=None,
grow_policy=None,
importance_type=None,
interaction_constraints=None,
learning_rate=None,
max_bin=None,
max_cat_threshold=None,
max_cat_to_onehot=None,
max_delta_step=None,
max_depth=None,
max_leaves=None,
min_child_weight=None,
missing=nan,
monotone_constraints=None,
multi_strategy=None,
n_estimators=None, n_jobs=None,
num_parallel_tree=None,
random_state=1, ...))DecisionTreeClassifier(max_depth=4, max_leaf_nodes=15,
min_impurity_decrease=0.0001, min_samples_leaf=7,
random_state=1)DecisionTreeClassifier(max_depth=1, random_state=1)
DecisionTreeClassifier(max_depth=1, random_state=1)
GradientBoostingClassifier(learning_rate=0.05, n_estimators=75, random_state=1,
subsample=0.7)XGBClassifier(base_score=None, booster=None, callbacks=None,
colsample_bylevel=None, colsample_bynode=None,
colsample_bytree=None, device=None, early_stopping_rounds=None,
enable_categorical=False, eval_metric=None, feature_types=None,
gamma=None, grow_policy=None, importance_type=None,
interaction_constraints=None, learning_rate=None, max_bin=None,
max_cat_threshold=None, max_cat_to_onehot=None,
max_delta_step=None, max_depth=None, max_leaves=None,
min_child_weight=None, missing=nan, monotone_constraints=None,
multi_strategy=None, n_estimators=None, n_jobs=None,
num_parallel_tree=None, random_state=1, ...)confusion_matrix_sklearn(stacking_estimator, X_train,y_train)
stacking_estimator_model_train_perf = model_performance_classification_sklearn(stacking_estimator, X_train, y_train)
print("Training performance \n",stacking_estimator_model_train_perf)
Training performance
Accuracy Recall Precision F1
0 0.74697 0.86628 0.77946 0.82058
confusion_matrix_sklearn(stacking_estimator, X_test,y_test)
stacking_estimator_model_test_perf = model_performance_classification_sklearn(stacking_estimator, X_test, y_test)
print("Testing performance \n",stacking_estimator_model_test_perf)
Testing performance
Accuracy Recall Precision F1
0 0.73927 0.86092 0.77404 0.81517
The stacking model is also performing well, though there is very little over-fitting with the model.
The F1_score of this model still slightly falls short when compared to the performance of the tuned GBM model.
# Training performance comparison
models_train_comp_df = pd.concat([
dtree_model_train_perf.T, bagging_model_train_perf.T, bagging_wt_model_train_perf.T,
rf_model_train_perf.T, rf_wt_model_train_perf.T, gb_model_train_perf.T,
ab_classifier_model_train_perf.T, xgb_classifer_model_train_perf.T,
gb_model_tuned_train_perf.T, ab_model_tuned_train_perf.T, xgb_tuned_model_train_perf.T,
rf_classifier_tuned_model_train_perf.T, bagging_classifier_tuned_model_train_perf.T,
dtree_post_prune_model_train_perf.T, dtree_pre_prune_model_train_perf.T, stacking_estimator_model_train_perf .T,
], axis=1)
models_train_comp_df.columns = [
"Decision Tree",
"Bagging classifer",
"Bagging Estimator wt weights",
"Random Forest classifier",
"Random Forest classifier wt weights",
"Gradient Boost classifier",
"Adaboost classifier",
"XGB classifier",
"Gradient Boost Tuned",
"Adaboost Tuned",
"XGB Tuned",
"Random Forest Classifier tuned",
"Bagging classifier tuned",
'Decesion tree classifier(post-pruned)',
"Decision tree classifier(pre-pruned)",
"Stacking estimator"
]
print("Training performance comparison:")
models_train_comp_df
Training performance comparison:
| Decision Tree | Bagging classifer | Bagging Estimator wt weights | Random Forest classifier | Random Forest classifier wt weights | Gradient Boost classifier | Adaboost classifier | XGB classifier | Gradient Boost Tuned | Adaboost Tuned | XGB Tuned | Random Forest Classifier tuned | Bagging classifier tuned | Decesion tree classifier(post-pruned) | Decision tree classifier(pre-pruned) | Stacking estimator | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Accuracy | 1.00000 | 0.98312 | 0.98458 | 1.00000 | 1.00000 | 0.75791 | 0.73710 | 0.84587 | 0.74983 | 0.73688 | 0.76233 | 0.79160 | 0.99804 | 0.73032 | 0.73817 | 0.74697 |
| Recall | 1.00000 | 0.98372 | 0.98539 | 1.00000 | 1.00000 | 0.88332 | 0.88945 | 0.93184 | 0.89801 | 0.89499 | 0.88903 | 0.90859 | 0.99983 | 0.89323 | 0.91715 | 0.86628 |
| Precision | 1.00000 | 0.99095 | 0.99147 | 1.00000 | 1.00000 | 0.78232 | 0.75859 | 0.85143 | 0.76716 | 0.75596 | 0.78405 | 0.80464 | 0.99724 | 0.75048 | 0.74790 | 0.77946 |
| F1 | 1.00000 | 0.98732 | 0.98842 | 1.00000 | 1.00000 | 0.82976 | 0.81882 | 0.88982 | 0.82744 | 0.81962 | 0.83325 | 0.85346 | 0.99853 | 0.81565 | 0.82392 | 0.82058 |
# Test performance comparison
models_test_comp_df = pd.concat([
dtree_model_test_perf.T, bagging_model_test_perf.T, bagging_wt_model_test_perf.T,
rf_model_test_perf.T, rf_wt_model_test_perf.T, gb_model_test_perf.T,
ab_classifier_model_test_perf.T, xgb_classifer_model_test_perf.T,
gb_model_tuned_test_perf.T, ab_model_tuned_test_perf.T, xgb_tuned_model_test_perf.T,
rf_classifier_tuned_model_test_perf.T, bagging_classifier_tuned_model_test_perf.T,
dtree_post_prune_model_test_perf.T, dtree_pre_prune_model_test_perf.T, stacking_estimator_model_test_perf.T
], axis=1)
models_test_comp_df.columns = [
"Decision Tree",
"Bagging estimator",
"Bagging Estimator wt weights",
"Random Forest classifier",
"Random Forest classifier wt weights",
"Gradient Boost classifier",
"Adaboost classifier",
"XGB classifier",
"Gradient Boost Tuned",
"Adaboost Tuned",
"XGB Tuned",
"Random Forest Classifier tuned",
"Bagging classifier tuned",
'Decision tree classifier(post-pruned)',
"Decision tree classifier(pre-pruned)",
"Stacking Estimator"
]
print("Test performance comparison:")
(models_test_comp_df)
Test performance comparison:
| Decision Tree | Bagging estimator | Bagging Estimator wt weights | Random Forest classifier | Random Forest classifier wt weights | Gradient Boost classifier | Adaboost classifier | XGB classifier | Gradient Boost Tuned | Adaboost Tuned | XGB Tuned | Random Forest Classifier tuned | Bagging classifier tuned | Decision tree classifier(post-pruned) | Decision tree classifier(pre-pruned) | Stacking Estimator | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Accuracy | 0.66130 | 0.69780 | 0.69008 | 0.72305 | 0.72083 | 0.74555 | 0.73299 | 0.72828 | 0.74241 | 0.73155 | 0.74451 | 0.74385 | 0.72684 | 0.72580 | 0.72985 | 0.73927 |
| Recall | 0.74535 | 0.77160 | 0.76631 | 0.83565 | 0.82997 | 0.87640 | 0.88521 | 0.85524 | 0.89618 | 0.89246 | 0.87796 | 0.87346 | 0.88737 | 0.89403 | 0.91557 | 0.86092 |
| Precision | 0.74696 | 0.77494 | 0.76887 | 0.76948 | 0.76994 | 0.77298 | 0.75644 | 0.76543 | 0.76072 | 0.75194 | 0.77116 | 0.77266 | 0.74963 | 0.74587 | 0.74096 | 0.77404 |
| F1 | 0.74615 | 0.77326 | 0.76759 | 0.80120 | 0.79883 | 0.82144 | 0.81578 | 0.80785 | 0.82292 | 0.81619 | 0.82110 | 0.81997 | 0.81270 | 0.81326 | 0.81907 | 0.81517 |
# importance of features in the tree building ( The importance of a feature is computed as the
#(normalized) total reduction of the criterion brought by that feature. It is also known as the Gini importance )
print(pd.DataFrame(gb_tuned.feature_importances_, columns = ["Imp"], index = X_train.columns).sort_values(by = 'Imp', ascending = False))
Imp education_of_employee 0.50100 has_job_experience 0.16214 prevailing_wage 0.06961 unit_of_wage_Hour 0.06483 continent_Europe 0.05783 region_of_employment_Midwest 0.03336 unit_of_wage_Year 0.02089 region_of_employment_South 0.02024 continent_North America 0.01625 region_of_employment_West 0.01380 continent_Asia 0.01150 region_of_employment_Northeast 0.00743 yr_of_estab 0.00649 no_of_employees 0.00514 full_time_position 0.00390 continent_South America 0.00361 requires_job_training 0.00113 continent_Africa 0.00046 region_of_employment_Island 0.00021 unit_of_wage_Month 0.00011 unit_of_wage_Week 0.00007 continent_Oceania 0.00000
feature_names7 = X_train.columns
importances = gb_tuned.feature_importances_
indices = np.argsort(importances)
plt.figure(figsize=(12,12))
plt.title('Feature Importances')
plt.barh(range(len(indices)), importances[indices], color='violet', align='center')
plt.yticks(range(len(indices)), [feature_names7[i] for i in indices])
plt.xlabel('Relative Importance')
plt.show()
The final model is quite strong in predicting visa case status going forward as long as the features supplied are the same with what was used in training the model. With this model, visa approval or denial processes can be done with accuracy mimicking the key factors important to immigration staffs when they make visa status decisions. This will also reduce workload and stream-line work flow for immigration officials.
Contrary to pre-model building believes that prevailing wages play a big role in the immigration official decisions in approval. This model has highlighted that this is not the case. Though, availability of data on the kind of jobs the employees will be doing in the US would have made the immigration official to consider more the prevailing wages when making their decision. For example, for dangerous jobs that require higher pay locally, if foreign employees are paid lower wages, this might lead to such visas been denied.
Hence, further data on job nature of these employees and the payment on the employees contract need to be collected during visa processing.
The education level of employee play the biggest role in visa case status decisions.The final model and EDA agree greatly in this observation. The higher the educational level the more likely the Visa will be approved, as those employees with very high educational qualifications are likely possess skills not readily available in country. As observed those with doctorates degrees have an 80% chance of their visa been approved.
Similiarly, job experience is hugely factored in by immigration officials when processing visas. Their assumption is that experienced employee may possess critical skills in-demand in-country. This has also been verified by analysis of the data using the final model.
Therefore, the immigration authorities should create a system that prioritizes faster processing of visas for employees with doctorate degrees as well as employees with many years of experience.
Also,it was also observed that employees with unit wage of hourly are more likely to get their Visas denied. This is understandable because hourly paid jobs make it difficult to know the potential yearly income of the employee. Yearly unit of income is the preffered unit the IRS use for calculating annual income taxes. Also, jobs which require the best brain from around the world are likely to use a yearly unit of wage. The immigration should put a circular to potential employers sponsoring employee visa application. The message should be that, they should endeavour to use yearly unit of wages in theit applications for ease of visa processing.
From the data, immigration officials are not racially decriminatory when reviewing visa applications, this is demonstated by the quite similiar visa approval rates accross all the continents. This is quite commendable and should be emulated by other immigrations all over the world.